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Finding the Third Proportional to 5,396,044,799 and 12,032,815,198

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Solution

The third proportional to 5,396,044,799 and 12,032,815,198 is: 26,832,364,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396,044,799 : 12,032,815,198 = 12,032,815,198 : x
  2. Step 2: Convert to fraction form
    5,396,044,799/12,032,815,198 = 12,032,815,198/x
  3. Step 3: Cross multiply
    5,396,044,799x = 12,032,815,198 × 12,032,815,198
  4. Step 4: Simplify right side
    5,396,044,799x = 144,788,641,589,219,786,752
  5. Step 5: Solve for x
    x = 144,788,641,589,219,786,752/5,396,044,799
  6. Step 6: Final answer
    x = 26,832,364,626.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.