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Finding the Third Proportional to 6,381,181 and 9,647,721

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Solution

The third proportional to 6,381,181 and 9,647,721 is: 14,586,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,181 : 9,647,721 = 9,647,721 : x
  2. Step 2: Convert to fraction form
    6,381,181/9,647,721 = 9,647,721/x
  3. Step 3: Cross multiply
    6,381,181x = 9,647,721 × 9,647,721
  4. Step 4: Simplify right side
    6,381,181x = 93,078,520,493,841
  5. Step 5: Solve for x
    x = 93,078,520,493,841/6,381,181
  6. Step 6: Final answer
    x = 14,586,409.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.