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Finding the Third Proportional to 1,023,120,288 and 2,250,313,920

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Solution

The third proportional to 1,023,120,288 and 2,250,313,920 is: 4,949,479,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,120,288 : 2,250,313,920 = 2,250,313,920 : x
  2. Step 2: Convert to fraction form
    1,023,120,288/2,250,313,920 = 2,250,313,920/x
  3. Step 3: Cross multiply
    1,023,120,288x = 2,250,313,920 × 2,250,313,920
  4. Step 4: Simplify right side
    1,023,120,288x = 5,063,912,738,545,766,400
  5. Step 5: Solve for x
    x = 5,063,912,738,545,766,400/1,023,120,288
  6. Step 6: Final answer
    x = 4,949,479,350.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.