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Finding the Third Proportional to 13,972,608 and 22,218,624

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Solution

The third proportional to 13,972,608 and 22,218,624 is: 35,331,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972,608 : 22,218,624 = 22,218,624 : x
  2. Step 2: Convert to fraction form
    13,972,608/22,218,624 = 22,218,624/x
  3. Step 3: Cross multiply
    13,972,608x = 22,218,624 × 22,218,624
  4. Step 4: Simplify right side
    13,972,608x = 493,667,252,453,376
  5. Step 5: Solve for x
    x = 493,667,252,453,376/13,972,608
  6. Step 6: Final answer
    x = 35,331,074.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.