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Finding the Third Proportional to 2,746,168.50 and 5,980,542

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Solution

The third proportional to 2,746,168.50 and 5,980,542 is: 13,024,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,168.50 : 5,980,542 = 5,980,542 : x
  2. Step 2: Convert to fraction form
    2,746,168.50/5,980,542 = 5,980,542/x
  3. Step 3: Cross multiply
    2,746,168.50x = 5,980,542 × 5,980,542
  4. Step 4: Simplify right side
    2,746,168.50x = 35,766,882,613,764
  5. Step 5: Solve for x
    x = 35,766,882,613,764/2,746,168.50
  6. Step 6: Final answer
    x = 13,024,285.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.