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Finding the Third Proportional to 52,902,703.13 and 81,712,891.13

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Solution

The third proportional to 52,902,703.13 and 81,712,891.13 is: 126,212,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,902,703.13 : 81,712,891.13 = 81,712,891.13 : x
  2. Step 2: Convert to fraction form
    52,902,703.13/81,712,891.13 = 81,712,891.13/x
  3. Step 3: Cross multiply
    52,902,703.13x = 81,712,891.13 × 81,712,891.13
  4. Step 4: Simplify right side
    52,902,703.13x = 6,676,996,576,006,104
  5. Step 5: Solve for x
    x = 6,676,996,576,006,104/52,902,703.13
  6. Step 6: Final answer
    x = 126,212,767.62

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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.