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Finding the Third Proportional to 22,749,760.50 and 49,129,470.75

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Solution

The third proportional to 22,749,760.50 and 49,129,470.75 is: 106,098,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,749,760.50 : 49,129,470.75 = 49,129,470.75 : x
  2. Step 2: Convert to fraction form
    22,749,760.50/49,129,470.75 = 49,129,470.75/x
  3. Step 3: Cross multiply
    22,749,760.50x = 49,129,470.75 × 49,129,470.75
  4. Step 4: Simplify right side
    22,749,760.50x = 2,413,704,896,175,105.50
  5. Step 5: Solve for x
    x = 2,413,704,896,175,105.50/22,749,760.50
  6. Step 6: Final answer
    x = 106,098,035.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.