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Finding the Third Proportional to 5,659,065 and 12,218,607

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Solution

The third proportional to 5,659,065 and 12,218,607 is: 26,381,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,065 : 12,218,607 = 12,218,607 : x
  2. Step 2: Convert to fraction form
    5,659,065/12,218,607 = 12,218,607/x
  3. Step 3: Cross multiply
    5,659,065x = 12,218,607 × 12,218,607
  4. Step 4: Simplify right side
    5,659,065x = 149,294,357,020,449
  5. Step 5: Solve for x
    x = 149,294,357,020,449/5,659,065
  6. Step 6: Final answer
    x = 26,381,452.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.