SOLUTION: 8 : 27 :: 64 :?

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Question 484386: 8 : 27 :: 64 :?

Answer by chessace(471) About Me  (Show Source):
You can put this solution on YOUR website!
As often happens, this one has at least 2 solutions.
It could be (and most likely is) 125: 2nd number is (base of 1st number + 1)^same power (namely 3).
It could be 729: 2nd number is 3^(exponent of 2 in first number).
It could even be 6^6 = 46656: take 2's exponent in first number and raise it to itself.
It could be true fractions: 216
Collect them all.