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Finding the Third Proportional to 677,002,818 and 1,474,193,694

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Solution

The third proportional to 677,002,818 and 1,474,193,694 is: 3,210,100,445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,002,818 : 1,474,193,694 = 1,474,193,694 : x
  2. Step 2: Convert to fraction form
    677,002,818/1,474,193,694 = 1,474,193,694/x
  3. Step 3: Cross multiply
    677,002,818x = 1,474,193,694 × 1,474,193,694
  4. Step 4: Simplify right side
    677,002,818x = 2,173,247,047,429,365,760
  5. Step 5: Solve for x
    x = 2,173,247,047,429,365,760/677,002,818
  6. Step 6: Final answer
    x = 3,210,100,445.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.