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Finding the Third Proportional to 3,099,069 and 6,712,866

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Solution

The third proportional to 3,099,069 and 6,712,866 is: 14,540,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099,069 : 6,712,866 = 6,712,866 : x
  2. Step 2: Convert to fraction form
    3,099,069/6,712,866 = 6,712,866/x
  3. Step 3: Cross multiply
    3,099,069x = 6,712,866 × 6,712,866
  4. Step 4: Simplify right side
    3,099,069x = 45,062,569,933,956
  5. Step 5: Solve for x
    x = 45,062,569,933,956/3,099,069
  6. Step 6: Final answer
    x = 14,540,679.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.