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Finding the Third Proportional to 3,033,694.50 and 6,517,638

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Solution

The third proportional to 3,033,694.50 and 6,517,638 is: 14,002,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033,694.50 : 6,517,638 = 6,517,638 : x
  2. Step 2: Convert to fraction form
    3,033,694.50/6,517,638 = 6,517,638/x
  3. Step 3: Cross multiply
    3,033,694.50x = 6,517,638 × 6,517,638
  4. Step 4: Simplify right side
    3,033,694.50x = 42,479,605,099,044
  5. Step 5: Solve for x
    x = 42,479,605,099,044/3,033,694.50
  6. Step 6: Final answer
    x = 14,002,598.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.