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Finding the Third Proportional to 4,206,148 and 9,150,407

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Solution

The third proportional to 4,206,148 and 9,150,407 is: 19,906,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,148 : 9,150,407 = 9,150,407 : x
  2. Step 2: Convert to fraction form
    4,206,148/9,150,407 = 9,150,407/x
  3. Step 3: Cross multiply
    4,206,148x = 9,150,407 × 9,150,407
  4. Step 4: Simplify right side
    4,206,148x = 83,729,948,265,649
  5. Step 5: Solve for x
    x = 83,729,948,265,649/4,206,148
  6. Step 6: Final answer
    x = 19,906,562.55

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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.