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Finding the Third Proportional to 5,221,719 and 7,982,697

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Solution

The third proportional to 5,221,719 and 7,982,697 is: 12,203,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221,719 : 7,982,697 = 7,982,697 : x
  2. Step 2: Convert to fraction form
    5,221,719/7,982,697 = 7,982,697/x
  3. Step 3: Cross multiply
    5,221,719x = 7,982,697 × 7,982,697
  4. Step 4: Simplify right side
    5,221,719x = 63,723,451,393,809
  5. Step 5: Solve for x
    x = 63,723,451,393,809/5,221,719
  6. Step 6: Final answer
    x = 12,203,538.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.