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Finding the Third Proportional to 38,175,930 and 80,773,812

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Solution

The third proportional to 38,175,930 and 80,773,812 is: 170,903,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,175,930 : 80,773,812 = 80,773,812 : x
  2. Step 2: Convert to fraction form
    38,175,930/80,773,812 = 80,773,812/x
  3. Step 3: Cross multiply
    38,175,930x = 80,773,812 × 80,773,812
  4. Step 4: Simplify right side
    38,175,930x = 6,524,408,705,011,344
  5. Step 5: Solve for x
    x = 6,524,408,705,011,344/38,175,930
  6. Step 6: Final answer
    x = 170,903,726.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.