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Finding the Third Proportional to 61,431,927 and 132,716,046

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Solution

The third proportional to 61,431,927 and 132,716,046 is: 286,716,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,431,927 : 132,716,046 = 132,716,046 : x
  2. Step 2: Convert to fraction form
    61,431,927/132,716,046 = 132,716,046/x
  3. Step 3: Cross multiply
    61,431,927x = 132,716,046 × 132,716,046
  4. Step 4: Simplify right side
    61,431,927x = 17,613,548,865,874,116
  5. Step 5: Solve for x
    x = 17,613,548,865,874,116/61,431,927
  6. Step 6: Final answer
    x = 286,716,528.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.