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Finding the Third Proportional to 40,005,375 and 59,744,542.50

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Solution

The third proportional to 40,005,375 and 59,744,542.50 is: 89,223,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,005,375 : 59,744,542.50 = 59,744,542.50 : x
  2. Step 2: Convert to fraction form
    40,005,375/59,744,542.50 = 59,744,542.50/x
  3. Step 3: Cross multiply
    40,005,375x = 59,744,542.50 × 59,744,542.50
  4. Step 4: Simplify right side
    40,005,375x = 3,569,410,358,534,306
  5. Step 5: Solve for x
    x = 3,569,410,358,534,306/40,005,375
  6. Step 6: Final answer
    x = 89,223,269.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.