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Finding the Third Proportional to 3,861,723 and 8,330,442

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Solution

The third proportional to 3,861,723 and 8,330,442 is: 17,970,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861,723 : 8,330,442 = 8,330,442 : x
  2. Step 2: Convert to fraction form
    3,861,723/8,330,442 = 8,330,442/x
  3. Step 3: Cross multiply
    3,861,723x = 8,330,442 × 8,330,442
  4. Step 4: Simplify right side
    3,861,723x = 69,396,263,915,364
  5. Step 5: Solve for x
    x = 69,396,263,915,364/3,861,723
  6. Step 6: Final answer
    x = 17,970,285.26

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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.