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Finding the Third Proportional to 3,023,435,847 and 4,694,336,999

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Solution

The third proportional to 3,023,435,847 and 4,694,336,999 is: 7,288,661,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,435,847 : 4,694,336,999 = 4,694,336,999 : x
  2. Step 2: Convert to fraction form
    3,023,435,847/4,694,336,999 = 4,694,336,999/x
  3. Step 3: Cross multiply
    3,023,435,847x = 4,694,336,999 × 4,694,336,999
  4. Step 4: Simplify right side
    3,023,435,847x = 22,036,799,860,180,324,352
  5. Step 5: Solve for x
    x = 22,036,799,860,180,324,352/3,023,435,847
  6. Step 6: Final answer
    x = 7,288,661,303.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.