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Finding the Third Proportional to 6,467,198 and 10,145,110

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Solution

The third proportional to 6,467,198 and 10,145,110 is: 15,914,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,198 : 10,145,110 = 10,145,110 : x
  2. Step 2: Convert to fraction form
    6,467,198/10,145,110 = 10,145,110/x
  3. Step 3: Cross multiply
    6,467,198x = 10,145,110 × 10,145,110
  4. Step 4: Simplify right side
    6,467,198x = 102,923,256,912,100
  5. Step 5: Solve for x
    x = 102,923,256,912,100/6,467,198
  6. Step 6: Final answer
    x = 15,914,659.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.