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Finding the Third Proportional to 4,206,065.25 and 9,150,243

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Solution

The third proportional to 4,206,065.25 and 9,150,243 is: 19,906,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,065.25 : 9,150,243 = 9,150,243 : x
  2. Step 2: Convert to fraction form
    4,206,065.25/9,150,243 = 9,150,243/x
  3. Step 3: Cross multiply
    4,206,065.25x = 9,150,243 × 9,150,243
  4. Step 4: Simplify right side
    4,206,065.25x = 83,726,946,959,049
  5. Step 5: Solve for x
    x = 83,726,946,959,049/4,206,065.25
  6. Step 6: Final answer
    x = 19,906,240.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.