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Finding the Third Proportional to 52,722,778.50 and 81,627,648.75

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Solution

The third proportional to 52,722,778.50 and 81,627,648.75 is: 126,379,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,722,778.50 : 81,627,648.75 = 81,627,648.75 : x
  2. Step 2: Convert to fraction form
    52,722,778.50/81,627,648.75 = 81,627,648.75/x
  3. Step 3: Cross multiply
    52,722,778.50x = 81,627,648.75 × 81,627,648.75
  4. Step 4: Simplify right side
    52,722,778.50x = 6,663,073,040,453,377
  5. Step 5: Solve for x
    x = 6,663,073,040,453,377/52,722,778.50
  6. Step 6: Final answer
    x = 126,379,398.62

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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.