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Finding the Third Proportional to 311,454,084 and 672,151,626

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Solution

The third proportional to 311,454,084 and 672,151,626 is: 1,450,575,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,454,084 : 672,151,626 = 672,151,626 : x
  2. Step 2: Convert to fraction form
    311,454,084/672,151,626 = 672,151,626/x
  3. Step 3: Cross multiply
    311,454,084x = 672,151,626 × 672,151,626
  4. Step 4: Simplify right side
    311,454,084x = 451,787,808,334,443,904
  5. Step 5: Solve for x
    x = 451,787,808,334,443,904/311,454,084
  6. Step 6: Final answer
    x = 1,450,575,964.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.