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Finding the Third Proportional to 13,408,782 and 20,758,200

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Solution

The third proportional to 13,408,782 and 20,758,200 is: 32,135,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408,782 : 20,758,200 = 20,758,200 : x
  2. Step 2: Convert to fraction form
    13,408,782/20,758,200 = 20,758,200/x
  3. Step 3: Cross multiply
    13,408,782x = 20,758,200 × 20,758,200
  4. Step 4: Simplify right side
    13,408,782x = 430,902,867,240,000
  5. Step 5: Solve for x
    x = 430,902,867,240,000/13,408,782
  6. Step 6: Final answer
    x = 32,135,869.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.