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Finding the Third Proportional to 3,947,466 and 8,205,204

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Solution

The third proportional to 3,947,466 and 8,205,204 is: 17,055,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,466 : 8,205,204 = 8,205,204 : x
  2. Step 2: Convert to fraction form
    3,947,466/8,205,204 = 8,205,204/x
  3. Step 3: Cross multiply
    3,947,466x = 8,205,204 × 8,205,204
  4. Step 4: Simplify right side
    3,947,466x = 67,325,372,681,616
  5. Step 5: Solve for x
    x = 67,325,372,681,616/3,947,466
  6. Step 6: Final answer
    x = 17,055,339.47

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.