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Finding the Third Proportional to 52,902,711 and 81,712,903

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Solution

The third proportional to 52,902,711 and 81,712,903 is: 126,212,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,902,711 : 81,712,903 = 81,712,903 : x
  2. Step 2: Convert to fraction form
    52,902,711/81,712,903 = 81,712,903/x
  3. Step 3: Cross multiply
    52,902,711x = 81,712,903 × 81,712,903
  4. Step 4: Simplify right side
    52,902,711x = 6,676,998,516,687,409
  5. Step 5: Solve for x
    x = 6,676,998,516,687,409/52,902,711
  6. Step 6: Final answer
    x = 126,212,785.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.