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Finding the Third Proportional to 20,786,682,506.50 and 42,675,327,608

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Solution

The third proportional to 20,786,682,506.50 and 42,675,327,608 is: 87,612,998,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786,682,506.50 : 42,675,327,608 = 42,675,327,608 : x
  2. Step 2: Convert to fraction form
    20,786,682,506.50/42,675,327,608 = 42,675,327,608/x
  3. Step 3: Cross multiply
    20,786,682,506.50x = 42,675,327,608 × 42,675,327,608
  4. Step 4: Simplify right side
    20,786,682,506.50x = 1,821,183,586,450,126,929,920
  5. Step 5: Solve for x
    x = 1,821,183,586,450,126,929,920/20,786,682,506.50
  6. Step 6: Final answer
    x = 87,612,998,653.38

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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.