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Finding the Third Proportional to 3,740,339.53 and 8,077,456.69

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Solution

The third proportional to 3,740,339.53 and 8,077,456.69 is: 17,443,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740,339.53 : 8,077,456.69 = 8,077,456.69 : x
  2. Step 2: Convert to fraction form
    3,740,339.53/8,077,456.69 = 8,077,456.69/x
  3. Step 3: Cross multiply
    3,740,339.53x = 8,077,456.69 × 8,077,456.69
  4. Step 4: Simplify right side
    3,740,339.53x = 65,245,306,538,438.47
  5. Step 5: Solve for x
    x = 65,245,306,538,438.47/3,740,339.53
  6. Step 6: Final answer
    x = 17,443,685.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.