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Finding the Third Proportional to 13,974,525 and 22,221,517.50

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Solution

The third proportional to 13,974,525 and 22,221,517.50 is: 35,335,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974,525 : 22,221,517.50 = 22,221,517.50 : x
  2. Step 2: Convert to fraction form
    13,974,525/22,221,517.50 = 22,221,517.50/x
  3. Step 3: Cross multiply
    13,974,525x = 22,221,517.50 × 22,221,517.50
  4. Step 4: Simplify right side
    13,974,525x = 493,795,840,002,806.25
  5. Step 5: Solve for x
    x = 493,795,840,002,806.25/13,974,525
  6. Step 6: Final answer
    x = 35,335,429.29

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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.