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Finding the Third Proportional to 52,902,707 and 81,712,897

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Solution

The third proportional to 52,902,707 and 81,712,897 is: 126,212,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,902,707 : 81,712,897 = 81,712,897 : x
  2. Step 2: Convert to fraction form
    52,902,707/81,712,897 = 81,712,897/x
  3. Step 3: Cross multiply
    52,902,707x = 81,712,897 × 81,712,897
  4. Step 4: Simplify right side
    52,902,707x = 6,676,997,536,132,609
  5. Step 5: Solve for x
    x = 6,676,997,536,132,609/52,902,707
  6. Step 6: Final answer
    x = 126,212,776.52

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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.