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Finding the Third Proportional to 3,327,400 and 6,812,468

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Solution

The third proportional to 3,327,400 and 6,812,468 is: 13,947,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327,400 : 6,812,468 = 6,812,468 : x
  2. Step 2: Convert to fraction form
    3,327,400/6,812,468 = 6,812,468/x
  3. Step 3: Cross multiply
    3,327,400x = 6,812,468 × 6,812,468
  4. Step 4: Simplify right side
    3,327,400x = 46,409,720,251,024
  5. Step 5: Solve for x
    x = 46,409,720,251,024/3,327,400
  6. Step 6: Final answer
    x = 13,947,743.06

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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.