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Finding the Third Proportional to 1,463,801,598 and 2,230,023,812

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Solution

The third proportional to 1,463,801,598 and 2,230,023,812 is: 3,397,322,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,801,598 : 2,230,023,812 = 2,230,023,812 : x
  2. Step 2: Convert to fraction form
    1,463,801,598/2,230,023,812 = 2,230,023,812/x
  3. Step 3: Cross multiply
    1,463,801,598x = 2,230,023,812 × 2,230,023,812
  4. Step 4: Simplify right side
    1,463,801,598x = 4,973,006,202,087,011,328
  5. Step 5: Solve for x
    x = 4,973,006,202,087,011,328/1,463,801,598
  6. Step 6: Final answer
    x = 3,397,322,566.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.