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Finding the Third Proportional to 4,393,624.50 and 9,001,301.63

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Solution

The third proportional to 4,393,624.50 and 9,001,301.63 is: 18,441,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393,624.50 : 9,001,301.63 = 9,001,301.63 : x
  2. Step 2: Convert to fraction form
    4,393,624.50/9,001,301.63 = 9,001,301.63/x
  3. Step 3: Cross multiply
    4,393,624.50x = 9,001,301.63 × 9,001,301.63
  4. Step 4: Simplify right side
    4,393,624.50x = 81,023,430,944,227.64
  5. Step 5: Solve for x
    x = 81,023,430,944,227.64/4,393,624.50
  6. Step 6: Final answer
    x = 18,441,136.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.