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Finding the Third Proportional to 3,023,083,229,798 and 6,662,367,117,508

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Solution

The third proportional to 3,023,083,229,798 and 6,662,367,117,508 is: 14,682,736,873,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,083,229,798 : 6,662,367,117,508 = 6,662,367,117,508 : x
  2. Step 2: Convert to fraction form
    3,023,083,229,798/6,662,367,117,508 = 6,662,367,117,508/x
  3. Step 3: Cross multiply
    3,023,083,229,798x = 6,662,367,117,508 × 6,662,367,117,508
  4. Step 4: Simplify right side
    3,023,083,229,798x = 44,387,135,608,451,857,049,976,832
  5. Step 5: Solve for x
    x = 44,387,135,608,451,857,049,976,832/3,023,083,229,798
  6. Step 6: Final answer
    x = 14,682,736,873,049.23

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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.