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Finding the Third Proportional to 1,542,911,020 and 3,380,591,188

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Solution

The third proportional to 1,542,911,020 and 3,380,591,188 is: 7,407,035,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,911,020 : 3,380,591,188 = 3,380,591,188 : x
  2. Step 2: Convert to fraction form
    1,542,911,020/3,380,591,188 = 3,380,591,188/x
  3. Step 3: Cross multiply
    1,542,911,020x = 3,380,591,188 × 3,380,591,188
  4. Step 4: Simplify right side
    1,542,911,020x = 11,428,396,780,383,250,432
  5. Step 5: Solve for x
    x = 11,428,396,780,383,250,432/1,542,911,020
  6. Step 6: Final answer
    x = 7,407,035,553.08

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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.