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Finding the Third Proportional to 740,508,814 and 1,542,309,108

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Solution

The third proportional to 740,508,814 and 1,542,309,108 is: 3,212,274,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,508,814 : 1,542,309,108 = 1,542,309,108 : x
  2. Step 2: Convert to fraction form
    740,508,814/1,542,309,108 = 1,542,309,108/x
  3. Step 3: Cross multiply
    740,508,814x = 1,542,309,108 × 1,542,309,108
  4. Step 4: Simplify right side
    740,508,814x = 2,378,717,384,619,755,520
  5. Step 5: Solve for x
    x = 2,378,717,384,619,755,520/740,508,814
  6. Step 6: Final answer
    x = 3,212,274,235.83

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.