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Finding the Third Proportional to 37,172,375 and 80,521,649

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Solution

The third proportional to 37,172,375 and 80,521,649 is: 174,423,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172,375 : 80,521,649 = 80,521,649 : x
  2. Step 2: Convert to fraction form
    37,172,375/80,521,649 = 80,521,649/x
  3. Step 3: Cross multiply
    37,172,375x = 80,521,649 × 80,521,649
  4. Step 4: Simplify right side
    37,172,375x = 6,483,735,957,679,201
  5. Step 5: Solve for x
    x = 6,483,735,957,679,201/37,172,375
  6. Step 6: Final answer
    x = 174,423,505.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.