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Reasoning 46,521,612,343,? find the next series?
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Reasoning 46,521,612,343,? find the next series?
Analysis of the given series:

The given series is 46,521,612,343,?. We need to find the next number in the series.

Observations:

- The given series is not following any arithmetic or geometric progression.
- The difference between consecutive terms is not constant.
- The given series has 13 digits and the next number is also expected to have 13 digits.
- The series does not have any obvious pattern or rule.

Approach:

Since there is no obvious pattern or rule in the given series, we can try to find some clues by breaking down the numbers into their prime factors and looking for any patterns there.

Prime factorization of the given numbers:

- 46 = 2 x 23
- 521 = 13 x 41
- 612 = 2 x 2 x 3 x 3 x 17
- 343 = 7 x 7 x 7

One observation we can make is that all the given numbers are perfect squares or products of two or more perfect squares. This may be a coincidence, but it gives us a clue to look for perfect squares or products of perfect squares in the next number in the series.

Possible next number:

We can try to find a number that is a product of two or more perfect squares and has 13 digits. One such number is:

- 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 11 x 13 x 13 x 17 = 6,469,693,000, which has 13 digits.

Therefore, the possible next number in the series is 6,469,693,000.

Conclusion:

The given series is not following any obvious pattern or rule, but we can try to find clues by analyzing the prime factorization of the numbers. In this case, we found that all the given numbers are perfect squares or products of perfect squares, which led us to a possible next number that is also a product of perfect squares. However, we cannot be sure that this is the correct answer, as there may be other possible numbers that also fit the pattern.
Community Answer
Reasoning 46,521,612,343,? find the next series?
The ans will be 215 because
if we write 46 as 64 (opposite) it's cube root will be 4 , in next term as same as shown up
521 as 125 it's cube root will be 5 .......... in 343 it will be same, so cube root will be 7
in next term it will be cube of 8 so 8*8*8 = 512 it will be 215 ( opposite). so 215 😇😇😇😇
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