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Finding the Third Proportional to 3,023,435,846 and 4,694,336,997

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Solution

The third proportional to 3,023,435,846 and 4,694,336,997 is: 7,288,661,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,435,846 : 4,694,336,997 = 4,694,336,997 : x
  2. Step 2: Convert to fraction form
    3,023,435,846/4,694,336,997 = 4,694,336,997/x
  3. Step 3: Cross multiply
    3,023,435,846x = 4,694,336,997 × 4,694,336,997
  4. Step 4: Simplify right side
    3,023,435,846x = 22,036,799,841,402,978,304
  5. Step 5: Solve for x
    x = 22,036,799,841,402,978,304/3,023,435,846
  6. Step 6: Final answer
    x = 7,288,661,299.22

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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.