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Finding the Third Proportional to 3,845,993 and 8,206,846

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Solution

The third proportional to 3,845,993 and 8,206,846 is: 17,512,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845,993 : 8,206,846 = 8,206,846 : x
  2. Step 2: Convert to fraction form
    3,845,993/8,206,846 = 8,206,846/x
  3. Step 3: Cross multiply
    3,845,993x = 8,206,846 × 8,206,846
  4. Step 4: Simplify right side
    3,845,993x = 67,352,321,267,716
  5. Step 5: Solve for x
    x = 67,352,321,267,716/3,845,993
  6. Step 6: Final answer
    x = 17,512,335.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.