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Finding the Third Proportional to 61,712,036 and 132,711,532

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Solution

The third proportional to 61,712,036 and 132,711,532 is: 285,395,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,712,036 : 132,711,532 = 132,711,532 : x
  2. Step 2: Convert to fraction form
    61,712,036/132,711,532 = 132,711,532/x
  3. Step 3: Cross multiply
    61,712,036x = 132,711,532 × 132,711,532
  4. Step 4: Simplify right side
    61,712,036x = 17,612,350,725,787,024
  5. Step 5: Solve for x
    x = 17,612,350,725,787,024/61,712,036
  6. Step 6: Final answer
    x = 285,395,716.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.