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Finding the Third Proportional to 1,638,840,876 and 3,604,567,794

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Solution

The third proportional to 1,638,840,876 and 3,604,567,794 is: 7,928,108,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,840,876 : 3,604,567,794 = 3,604,567,794 : x
  2. Step 2: Convert to fraction form
    1,638,840,876/3,604,567,794 = 3,604,567,794/x
  3. Step 3: Cross multiply
    1,638,840,876x = 3,604,567,794 × 3,604,567,794
  4. Step 4: Simplify right side
    1,638,840,876x = 12,992,908,981,542,027,264
  5. Step 5: Solve for x
    x = 12,992,908,981,542,027,264/1,638,840,876
  6. Step 6: Final answer
    x = 7,928,108,928.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.