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Finding the Third Proportional to 54,050,776 and 83,763,791

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Solution

The third proportional to 54,050,776 and 83,763,791 is: 129,810,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,050,776 : 83,763,791 = 83,763,791 : x
  2. Step 2: Convert to fraction form
    54,050,776/83,763,791 = 83,763,791/x
  3. Step 3: Cross multiply
    54,050,776x = 83,763,791 × 83,763,791
  4. Step 4: Simplify right side
    54,050,776x = 7,016,372,682,691,681
  5. Step 5: Solve for x
    x = 7,016,372,682,691,681/54,050,776
  6. Step 6: Final answer
    x = 129,810,766.87

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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.