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Finding the Third Proportional to 6,497,445.38 and 9,987,919.31

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Solution

The third proportional to 6,497,445.38 and 9,987,919.31 is: 15,353,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,445.38 : 9,987,919.31 = 9,987,919.31 : x
  2. Step 2: Convert to fraction form
    6,497,445.38/9,987,919.31 = 9,987,919.31/x
  3. Step 3: Cross multiply
    6,497,445.38x = 9,987,919.31 × 9,987,919.31
  4. Step 4: Simplify right side
    6,497,445.38x = 99,758,532,193,010.47
  5. Step 5: Solve for x
    x = 99,758,532,193,010.47/6,497,445.38
  6. Step 6: Final answer
    x = 15,353,500.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.