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Finding the Third Proportional to 6,498,557 and 14,080,744

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Solution

The third proportional to 6,498,557 and 14,080,744 is: 30,509,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,557 : 14,080,744 = 14,080,744 : x
  2. Step 2: Convert to fraction form
    6,498,557/14,080,744 = 14,080,744/x
  3. Step 3: Cross multiply
    6,498,557x = 14,080,744 × 14,080,744
  4. Step 4: Simplify right side
    6,498,557x = 198,267,351,593,536
  5. Step 5: Solve for x
    x = 198,267,351,593,536/6,498,557
  6. Step 6: Final answer
    x = 30,509,442.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.