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Finding the Third Proportional to 3,327,628 and 6,812,941

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Solution

The third proportional to 3,327,628 and 6,812,941 is: 13,948,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327,628 : 6,812,941 = 6,812,941 : x
  2. Step 2: Convert to fraction form
    3,327,628/6,812,941 = 6,812,941/x
  3. Step 3: Cross multiply
    3,327,628x = 6,812,941 × 6,812,941
  4. Step 4: Simplify right side
    3,327,628x = 46,416,165,069,481
  5. Step 5: Solve for x
    x = 46,416,165,069,481/3,327,628
  6. Step 6: Final answer
    x = 13,948,724.16

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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.