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Finding the Third Proportional to 37,425,680 and 81,906,649

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Solution

The third proportional to 37,425,680 and 81,906,649 is: 179,253,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,425,680 : 81,906,649 = 81,906,649 : x
  2. Step 2: Convert to fraction form
    37,425,680/81,906,649 = 81,906,649/x
  3. Step 3: Cross multiply
    37,425,680x = 81,906,649 × 81,906,649
  4. Step 4: Simplify right side
    37,425,680x = 6,708,699,150,409,201
  5. Step 5: Solve for x
    x = 6,708,699,150,409,201/37,425,680
  6. Step 6: Final answer
    x = 179,253,901.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.