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Finding the Third Proportional to 4,195,397 and 9,188,077

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Solution

The third proportional to 4,195,397 and 9,188,077 is: 20,122,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195,397 : 9,188,077 = 9,188,077 : x
  2. Step 2: Convert to fraction form
    4,195,397/9,188,077 = 9,188,077/x
  3. Step 3: Cross multiply
    4,195,397x = 9,188,077 × 9,188,077
  4. Step 4: Simplify right side
    4,195,397x = 84,420,758,957,929
  5. Step 5: Solve for x
    x = 84,420,758,957,929/4,195,397
  6. Step 6: Final answer
    x = 20,122,233.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.