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Finding the Third Proportional to 53,396,847 and 80,237,439

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Solution

The third proportional to 53,396,847 and 80,237,439 is: 120,569,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,396,847 : 80,237,439 = 80,237,439 : x
  2. Step 2: Convert to fraction form
    53,396,847/80,237,439 = 80,237,439/x
  3. Step 3: Cross multiply
    53,396,847x = 80,237,439 × 80,237,439
  4. Step 4: Simplify right side
    53,396,847x = 6,438,046,617,278,721
  5. Step 5: Solve for x
    x = 6,438,046,617,278,721/53,396,847
  6. Step 6: Final answer
    x = 120,569,789.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.