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Finding the Third Proportional to 38,432,742 and 83,002,743

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Solution

The third proportional to 38,432,742 and 83,002,743 is: 179,260,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,432,742 : 83,002,743 = 83,002,743 : x
  2. Step 2: Convert to fraction form
    38,432,742/83,002,743 = 83,002,743/x
  3. Step 3: Cross multiply
    38,432,742x = 83,002,743 × 83,002,743
  4. Step 4: Simplify right side
    38,432,742x = 6,889,455,345,524,049
  5. Step 5: Solve for x
    x = 6,889,455,345,524,049/38,432,742
  6. Step 6: Final answer
    x = 179,260,052.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.