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Finding the Third Proportional to 37,799,631 and 82,470,107.25

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Solution

The third proportional to 37,799,631 and 82,470,107.25 is: 179,930,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,799,631 : 82,470,107.25 = 82,470,107.25 : x
  2. Step 2: Convert to fraction form
    37,799,631/82,470,107.25 = 82,470,107.25/x
  3. Step 3: Cross multiply
    37,799,631x = 82,470,107.25 × 82,470,107.25
  4. Step 4: Simplify right side
    37,799,631x = 6,801,318,589,826,503
  5. Step 5: Solve for x
    x = 6,801,318,589,826,503/37,799,631
  6. Step 6: Final answer
    x = 179,930,819.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.