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Finding the Third Proportional to 3,327,378 and 6,812,422

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Solution

The third proportional to 3,327,378 and 6,812,422 is: 13,947,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327,378 : 6,812,422 = 6,812,422 : x
  2. Step 2: Convert to fraction form
    3,327,378/6,812,422 = 6,812,422/x
  3. Step 3: Cross multiply
    3,327,378x = 6,812,422 × 6,812,422
  4. Step 4: Simplify right side
    3,327,378x = 46,409,093,506,084
  5. Step 5: Solve for x
    x = 46,409,093,506,084/3,327,378
  6. Step 6: Final answer
    x = 13,947,646.92

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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.