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Finding the Third Proportional to 1,327,420,380 and 1,912,193,802

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Solution

The third proportional to 1,327,420,380 and 1,912,193,802 is: 2,754,579,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,420,380 : 1,912,193,802 = 1,912,193,802 : x
  2. Step 2: Convert to fraction form
    1,327,420,380/1,912,193,802 = 1,912,193,802/x
  3. Step 3: Cross multiply
    1,327,420,380x = 1,912,193,802 × 1,912,193,802
  4. Step 4: Simplify right side
    1,327,420,380x = 3,656,485,136,407,215,104
  5. Step 5: Solve for x
    x = 3,656,485,136,407,215,104/1,327,420,380
  6. Step 6: Final answer
    x = 2,754,579,627.90

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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.