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Finding the Third Proportional to 3,854,872.13 and 8,222,731.88

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Solution

The third proportional to 3,854,872.13 and 8,222,731.88 is: 17,539,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854,872.13 : 8,222,731.88 = 8,222,731.88 : x
  2. Step 2: Convert to fraction form
    3,854,872.13/8,222,731.88 = 8,222,731.88/x
  3. Step 3: Cross multiply
    3,854,872.13x = 8,222,731.88 × 8,222,731.88
  4. Step 4: Simplify right side
    3,854,872.13x = 67,613,319,488,141.02
  5. Step 5: Solve for x
    x = 67,613,319,488,141.02/3,854,872.13
  6. Step 6: Final answer
    x = 17,539,704.90

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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.