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Finding the Third Proportional to 38,038,463 and 80,995,853

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Solution

The third proportional to 38,038,463 and 80,995,853 is: 172,465,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038,463 : 80,995,853 = 80,995,853 : x
  2. Step 2: Convert to fraction form
    38,038,463/80,995,853 = 80,995,853/x
  3. Step 3: Cross multiply
    38,038,463x = 80,995,853 × 80,995,853
  4. Step 4: Simplify right side
    38,038,463x = 6,560,328,203,197,609
  5. Step 5: Solve for x
    x = 6,560,328,203,197,609/38,038,463
  6. Step 6: Final answer
    x = 172,465,648.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.