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Finding the Third Proportional to 3,023,435,845 and 4,694,336,995.50

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Solution

The third proportional to 3,023,435,845 and 4,694,336,995.50 is: 7,288,661,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,435,845 : 4,694,336,995.50 = 4,694,336,995.50 : x
  2. Step 2: Convert to fraction form
    3,023,435,845/4,694,336,995.50 = 4,694,336,995.50/x
  3. Step 3: Cross multiply
    3,023,435,845x = 4,694,336,995.50 × 4,694,336,995.50
  4. Step 4: Simplify right side
    3,023,435,845x = 22,036,799,827,319,967,744
  5. Step 5: Solve for x
    x = 22,036,799,827,319,967,744/3,023,435,845
  6. Step 6: Final answer
    x = 7,288,661,296.97

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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.