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Finding the Third Proportional to 6,208,542 and 9,274,578

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Solution

The third proportional to 6,208,542 and 9,274,578 is: 13,854,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208,542 : 9,274,578 = 9,274,578 : x
  2. Step 2: Convert to fraction form
    6,208,542/9,274,578 = 9,274,578/x
  3. Step 3: Cross multiply
    6,208,542x = 9,274,578 × 9,274,578
  4. Step 4: Simplify right side
    6,208,542x = 86,017,797,078,084
  5. Step 5: Solve for x
    x = 86,017,797,078,084/6,208,542
  6. Step 6: Final answer
    x = 13,854,749.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.