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Finding the Third Proportional to 920,006,198 and 1,995,240,812

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Solution

The third proportional to 920,006,198 and 1,995,240,812 is: 4,327,129,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,006,198 : 1,995,240,812 = 1,995,240,812 : x
  2. Step 2: Convert to fraction form
    920,006,198/1,995,240,812 = 1,995,240,812/x
  3. Step 3: Cross multiply
    920,006,198x = 1,995,240,812 × 1,995,240,812
  4. Step 4: Simplify right side
    920,006,198x = 3,980,985,897,870,419,456
  5. Step 5: Solve for x
    x = 3,980,985,897,870,419,456/920,006,198
  6. Step 6: Final answer
    x = 4,327,129,432.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.