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Finding the Third Proportional to 1,542,911,028 and 3,380,591,204

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Solution

The third proportional to 1,542,911,028 and 3,380,591,204 is: 7,407,035,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,911,028 : 3,380,591,204 = 3,380,591,204 : x
  2. Step 2: Convert to fraction form
    1,542,911,028/3,380,591,204 = 3,380,591,204/x
  3. Step 3: Cross multiply
    1,542,911,028x = 3,380,591,204 × 3,380,591,204
  4. Step 4: Simplify right side
    1,542,911,028x = 11,428,396,888,562,169,856
  5. Step 5: Solve for x
    x = 11,428,396,888,562,169,856/1,542,911,028
  6. Step 6: Final answer
    x = 7,407,035,584.79

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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.