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Finding the Third Proportional to 4,198,524 and 9,204,024

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Solution

The third proportional to 4,198,524 and 9,204,024 is: 20,177,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,524 : 9,204,024 = 9,204,024 : x
  2. Step 2: Convert to fraction form
    4,198,524/9,204,024 = 9,204,024/x
  3. Step 3: Cross multiply
    4,198,524x = 9,204,024 × 9,204,024
  4. Step 4: Simplify right side
    4,198,524x = 84,714,057,792,576
  5. Step 5: Solve for x
    x = 84,714,057,792,576/4,198,524
  6. Step 6: Final answer
    x = 20,177,104.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.