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Finding the Third Proportional to 3,401,353.50 and 5,156,016.75

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Solution

The third proportional to 3,401,353.50 and 5,156,016.75 is: 7,815,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401,353.50 : 5,156,016.75 = 5,156,016.75 : x
  2. Step 2: Convert to fraction form
    3,401,353.50/5,156,016.75 = 5,156,016.75/x
  3. Step 3: Cross multiply
    3,401,353.50x = 5,156,016.75 × 5,156,016.75
  4. Step 4: Simplify right side
    3,401,353.50x = 26,584,508,726,280.56
  5. Step 5: Solve for x
    x = 26,584,508,726,280.56/3,401,353.50
  6. Step 6: Final answer
    x = 7,815,861.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.