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Finding the Third Proportional to 1,327,435,200 and 1,912,086,432

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Solution

The third proportional to 1,327,435,200 and 1,912,086,432 is: 2,754,239,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,435,200 : 1,912,086,432 = 1,912,086,432 : x
  2. Step 2: Convert to fraction form
    1,327,435,200/1,912,086,432 = 1,912,086,432/x
  3. Step 3: Cross multiply
    1,327,435,200x = 1,912,086,432 × 1,912,086,432
  4. Step 4: Simplify right side
    1,327,435,200x = 3,656,074,523,438,490,624
  5. Step 5: Solve for x
    x = 3,656,074,523,438,490,624/1,327,435,200
  6. Step 6: Final answer
    x = 2,754,239,546.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.