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Finding the Third Proportional to 37,729,418 and 80,837,884

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Solution

The third proportional to 37,729,418 and 80,837,884 is: 173,200,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729,418 : 80,837,884 = 80,837,884 : x
  2. Step 2: Convert to fraction form
    37,729,418/80,837,884 = 80,837,884/x
  3. Step 3: Cross multiply
    37,729,418x = 80,837,884 × 80,837,884
  4. Step 4: Simplify right side
    37,729,418x = 6,534,763,489,597,456
  5. Step 5: Solve for x
    x = 6,534,763,489,597,456/37,729,418
  6. Step 6: Final answer
    x = 173,200,749.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.