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Finding the Third Proportional to 37,412,478 and 80,394,516

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Solution

The third proportional to 37,412,478 and 80,394,516 is: 172,757,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412,478 : 80,394,516 = 80,394,516 : x
  2. Step 2: Convert to fraction form
    37,412,478/80,394,516 = 80,394,516/x
  3. Step 3: Cross multiply
    37,412,478x = 80,394,516 × 80,394,516
  4. Step 4: Simplify right side
    37,412,478x = 6,463,278,202,874,256
  5. Step 5: Solve for x
    x = 6,463,278,202,874,256/37,412,478
  6. Step 6: Final answer
    x = 172,757,287.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.