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Finding the Third Proportional to 3,023,383,892 and 4,323,444,126

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Solution

The third proportional to 3,023,383,892 and 4,323,444,126 is: 6,182,532,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,383,892 : 4,323,444,126 = 4,323,444,126 : x
  2. Step 2: Convert to fraction form
    3,023,383,892/4,323,444,126 = 4,323,444,126/x
  3. Step 3: Cross multiply
    3,023,383,892x = 4,323,444,126 × 4,323,444,126
  4. Step 4: Simplify right side
    3,023,383,892x = 18,692,169,110,643,904,512
  5. Step 5: Solve for x
    x = 18,692,169,110,643,904,512/3,023,383,892
  6. Step 6: Final answer
    x = 6,182,532,479.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.