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Finding the Third Proportional to 701,082,474 and 1,518,503,760

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Solution

The third proportional to 701,082,474 and 1,518,503,760 is: 3,288,990,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,082,474 : 1,518,503,760 = 1,518,503,760 : x
  2. Step 2: Convert to fraction form
    701,082,474/1,518,503,760 = 1,518,503,760/x
  3. Step 3: Cross multiply
    701,082,474x = 1,518,503,760 × 1,518,503,760
  4. Step 4: Simplify right side
    701,082,474x = 2,305,853,669,134,137,344
  5. Step 5: Solve for x
    x = 2,305,853,669,134,137,344/701,082,474
  6. Step 6: Final answer
    x = 3,288,990,603.31

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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.