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Finding the Third Proportional to 20,786,682,509 and 42,675,327,612

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Solution

The third proportional to 20,786,682,509 and 42,675,327,612 is: 87,612,998,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786,682,509 : 42,675,327,612 = 42,675,327,612 : x
  2. Step 2: Convert to fraction form
    20,786,682,509/42,675,327,612 = 42,675,327,612/x
  3. Step 3: Cross multiply
    20,786,682,509x = 42,675,327,612 × 42,675,327,612
  4. Step 4: Simplify right side
    20,786,682,509x = 1,821,183,586,791,529,644,032
  5. Step 5: Solve for x
    x = 1,821,183,586,791,529,644,032/20,786,682,509
  6. Step 6: Final answer
    x = 87,612,998,659.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.