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Finding the Third Proportional to 3,338,462.25 and 5,023,353.38

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Solution

The third proportional to 3,338,462.25 and 5,023,353.38 is: 7,558,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338,462.25 : 5,023,353.38 = 5,023,353.38 : x
  2. Step 2: Convert to fraction form
    3,338,462.25/5,023,353.38 = 5,023,353.38/x
  3. Step 3: Cross multiply
    3,338,462.25x = 5,023,353.38 × 5,023,353.38
  4. Step 4: Simplify right side
    3,338,462.25x = 25,234,079,130,123.89
  5. Step 5: Solve for x
    x = 25,234,079,130,123.89/3,338,462.25
  6. Step 6: Final answer
    x = 7,558,593.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.