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Finding the Third Proportional to 3,327,740 and 6,813,188

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Solution

The third proportional to 3,327,740 and 6,813,188 is: 13,949,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327,740 : 6,813,188 = 6,813,188 : x
  2. Step 2: Convert to fraction form
    3,327,740/6,813,188 = 6,813,188/x
  3. Step 3: Cross multiply
    3,327,740x = 6,813,188 × 6,813,188
  4. Step 4: Simplify right side
    3,327,740x = 46,419,530,723,344
  5. Step 5: Solve for x
    x = 46,419,530,723,344/3,327,740
  6. Step 6: Final answer
    x = 13,949,266.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.