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Finding the Third Proportional to 54,206,551.69 and 82,580,251.78

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Solution

The third proportional to 54,206,551.69 and 82,580,251.78 is: 125,805,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,206,551.69 : 82,580,251.78 = 82,580,251.78 : x
  2. Step 2: Convert to fraction form
    54,206,551.69/82,580,251.78 = 82,580,251.78/x
  3. Step 3: Cross multiply
    54,206,551.69x = 82,580,251.78 × 82,580,251.78
  4. Step 4: Simplify right side
    54,206,551.69x = 6,819,497,984,254,644
  5. Step 5: Solve for x
    x = 6,819,497,984,254,644/54,206,551.69
  6. Step 6: Final answer
    x = 125,805,788.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.