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Finding the Third Proportional to 5,522,023.50 and 12,897,171

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Solution

The third proportional to 5,522,023.50 and 12,897,171 is: 30,122,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522,023.50 : 12,897,171 = 12,897,171 : x
  2. Step 2: Convert to fraction form
    5,522,023.50/12,897,171 = 12,897,171/x
  3. Step 3: Cross multiply
    5,522,023.50x = 12,897,171 × 12,897,171
  4. Step 4: Simplify right side
    5,522,023.50x = 166,337,019,803,241
  5. Step 5: Solve for x
    x = 166,337,019,803,241/5,522,023.50
  6. Step 6: Final answer
    x = 30,122,475.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.