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Finding the Third Proportional to 7,340,400 and 15,743,500

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Solution

The third proportional to 7,340,400 and 15,743,500 is: 33,766,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340,400 : 15,743,500 = 15,743,500 : x
  2. Step 2: Convert to fraction form
    7,340,400/15,743,500 = 15,743,500/x
  3. Step 3: Cross multiply
    7,340,400x = 15,743,500 × 15,743,500
  4. Step 4: Simplify right side
    7,340,400x = 247,857,792,250,000
  5. Step 5: Solve for x
    x = 247,857,792,250,000/7,340,400
  6. Step 6: Final answer
    x = 33,766,251.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.