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Finding the Third Proportional to 4,441,344 and 9,231,600

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Solution

The third proportional to 4,441,344 and 9,231,600 is: 19,188,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441,344 : 9,231,600 = 9,231,600 : x
  2. Step 2: Convert to fraction form
    4,441,344/9,231,600 = 9,231,600/x
  3. Step 3: Cross multiply
    4,441,344x = 9,231,600 × 9,231,600
  4. Step 4: Simplify right side
    4,441,344x = 85,222,438,560,000
  5. Step 5: Solve for x
    x = 85,222,438,560,000/4,441,344
  6. Step 6: Final answer
    x = 19,188,434.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.