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Finding the Third Proportional to 37,412,464 and 80,394,484

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Solution

The third proportional to 37,412,464 and 80,394,484 is: 172,757,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412,464 : 80,394,484 = 80,394,484 : x
  2. Step 2: Convert to fraction form
    37,412,464/80,394,484 = 80,394,484/x
  3. Step 3: Cross multiply
    37,412,464x = 80,394,484 × 80,394,484
  4. Step 4: Simplify right side
    37,412,464x = 6,463,273,057,626,256
  5. Step 5: Solve for x
    x = 6,463,273,057,626,256/37,412,464
  6. Step 6: Final answer
    x = 172,757,214.22

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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.