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Finding the Third Proportional to 14,281,204 and 31,396,408

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Solution

The third proportional to 14,281,204 and 31,396,408 is: 69,023,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281,204 : 31,396,408 = 31,396,408 : x
  2. Step 2: Convert to fraction form
    14,281,204/31,396,408 = 31,396,408/x
  3. Step 3: Cross multiply
    14,281,204x = 31,396,408 × 31,396,408
  4. Step 4: Simplify right side
    14,281,204x = 985,734,435,302,464
  5. Step 5: Solve for x
    x = 985,734,435,302,464/14,281,204
  6. Step 6: Final answer
    x = 69,023,202.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.