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Finding the Third Proportional to 7,647,424 and 11,738,496

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Solution

The third proportional to 7,647,424 and 11,738,496 is: 18,018,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647,424 : 11,738,496 = 11,738,496 : x
  2. Step 2: Convert to fraction form
    7,647,424/11,738,496 = 11,738,496/x
  3. Step 3: Cross multiply
    7,647,424x = 11,738,496 × 11,738,496
  4. Step 4: Simplify right side
    7,647,424x = 137,792,288,342,016
  5. Step 5: Solve for x
    x = 137,792,288,342,016/7,647,424
  6. Step 6: Final answer
    x = 18,018,131.12

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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.