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Finding the Third Proportional to 6,734,467 and 10,269,845

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Solution

The third proportional to 6,734,467 and 10,269,845 is: 15,661,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734,467 : 10,269,845 = 10,269,845 : x
  2. Step 2: Convert to fraction form
    6,734,467/10,269,845 = 10,269,845/x
  3. Step 3: Cross multiply
    6,734,467x = 10,269,845 × 10,269,845
  4. Step 4: Simplify right side
    6,734,467x = 105,469,716,324,025
  5. Step 5: Solve for x
    x = 105,469,716,324,025/6,734,467
  6. Step 6: Final answer
    x = 15,661,182.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.