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Finding the Third Proportional to 3,413,142.40 and 7,332,805.97

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Solution

The third proportional to 3,413,142.40 and 7,332,805.97 is: 15,753,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,142.40 : 7,332,805.97 = 7,332,805.97 : x
  2. Step 2: Convert to fraction form
    3,413,142.40/7,332,805.97 = 7,332,805.97/x
  3. Step 3: Cross multiply
    3,413,142.40x = 7,332,805.97 × 7,332,805.97
  4. Step 4: Simplify right side
    3,413,142.40x = 53,770,043,375,335.62
  5. Step 5: Solve for x
    x = 53,770,043,375,335.62/3,413,142.40
  6. Step 6: Final answer
    x = 15,753,823.60

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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.