Explanation:
In the given analogy "6:64::11:?", the two pairs of numbers are related to each other in some way.
To find the missing number, we need to determine the relationship between the first pair of numbers (6 and 64) and then apply the same relationship to the second pair of numbers (11 and ?).
One possible relationship between 6 and 64 is that 64 is the result of squaring 6 and multiplying the result by 2. In other words,
64 = 2 × 6^2
Using this relationship, we can find the missing number as follows:
? = 2 × 11^2
= 2 × 121
= 242
Therefore, the missing number that completes the analogy "6:64::11:?" is 242.
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