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Finding the Third Proportional to 54,052,945.31 and 83,766,565.13

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Solution

The third proportional to 54,052,945.31 and 83,766,565.13 is: 129,814,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,052,945.31 : 83,766,565.13 = 83,766,565.13 : x
  2. Step 2: Convert to fraction form
    54,052,945.31/83,766,565.13 = 83,766,565.13/x
  3. Step 3: Cross multiply
    54,052,945.31x = 83,766,565.13 × 83,766,565.13
  4. Step 4: Simplify right side
    54,052,945.31x = 7,016,837,432,840,866
  5. Step 5: Solve for x
    x = 7,016,837,432,840,866/54,052,945.31
  6. Step 6: Final answer
    x = 129,814,155.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.