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Finding the Third Proportional to 37,287,684 and 87,897,439

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Solution

The third proportional to 37,287,684 and 87,897,439 is: 207,198,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,287,684 : 87,897,439 = 87,897,439 : x
  2. Step 2: Convert to fraction form
    37,287,684/87,897,439 = 87,897,439/x
  3. Step 3: Cross multiply
    37,287,684x = 87,897,439 × 87,897,439
  4. Step 4: Simplify right side
    37,287,684x = 7,725,959,782,758,721
  5. Step 5: Solve for x
    x = 7,725,959,782,758,721/37,287,684
  6. Step 6: Final answer
    x = 207,198,703.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.