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Finding the Third Proportional to 8,227,423.13 and 17,719,175.25

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Solution

The third proportional to 8,227,423.13 and 17,719,175.25 is: 38,161,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227,423.13 : 17,719,175.25 = 17,719,175.25 : x
  2. Step 2: Convert to fraction form
    8,227,423.13/17,719,175.25 = 17,719,175.25/x
  3. Step 3: Cross multiply
    8,227,423.13x = 17,719,175.25 × 17,719,175.25
  4. Step 4: Simplify right side
    8,227,423.13x = 313,969,171,540,212.56
  5. Step 5: Solve for x
    x = 313,969,171,540,212.56/8,227,423.13
  6. Step 6: Final answer
    x = 38,161,301.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.