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Finding the Third Proportional to 8,147,773.13 and 17,696,805.75

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Solution

The third proportional to 8,147,773.13 and 17,696,805.75 is: 38,437,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147,773.13 : 17,696,805.75 = 17,696,805.75 : x
  2. Step 2: Convert to fraction form
    8,147,773.13/17,696,805.75 = 17,696,805.75/x
  3. Step 3: Cross multiply
    8,147,773.13x = 17,696,805.75 × 17,696,805.75
  4. Step 4: Simplify right side
    8,147,773.13x = 313,176,933,753,233.06
  5. Step 5: Solve for x
    x = 313,176,933,753,233.06/8,147,773.13
  6. Step 6: Final answer
    x = 38,437,120.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.