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Finding the Third Proportional to 8,317,306.50 and 18,200,027

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Solution

The third proportional to 8,317,306.50 and 18,200,027 is: 39,825,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317,306.50 : 18,200,027 = 18,200,027 : x
  2. Step 2: Convert to fraction form
    8,317,306.50/18,200,027 = 18,200,027/x
  3. Step 3: Cross multiply
    8,317,306.50x = 18,200,027 × 18,200,027
  4. Step 4: Simplify right side
    8,317,306.50x = 331,240,982,800,729
  5. Step 5: Solve for x
    x = 331,240,982,800,729/8,317,306.50
  6. Step 6: Final answer
    x = 39,825,511.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.