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Finding the Third Proportional to 6,283,977 and 9,608,589

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Solution

The third proportional to 6,283,977 and 9,608,589 is: 14,692,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,977 : 9,608,589 = 9,608,589 : x
  2. Step 2: Convert to fraction form
    6,283,977/9,608,589 = 9,608,589/x
  3. Step 3: Cross multiply
    6,283,977x = 9,608,589 × 9,608,589
  4. Step 4: Simplify right side
    6,283,977x = 92,324,982,570,921
  5. Step 5: Solve for x
    x = 92,324,982,570,921/6,283,977
  6. Step 6: Final answer
    x = 14,692,126.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.