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Finding the Third Proportional to 61,431,912 and 132,716,016

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Solution

The third proportional to 61,431,912 and 132,716,016 is: 286,716,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,431,912 : 132,716,016 = 132,716,016 : x
  2. Step 2: Convert to fraction form
    61,431,912/132,716,016 = 132,716,016/x
  3. Step 3: Cross multiply
    61,431,912x = 132,716,016 × 132,716,016
  4. Step 4: Simplify right side
    61,431,912x = 17,613,540,902,912,256
  5. Step 5: Solve for x
    x = 17,613,540,902,912,256/61,431,912
  6. Step 6: Final answer
    x = 286,716,469.17

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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.