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Finding the Third Proportional to 20,786,682,978 and 42,675,331,144

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Solution

The third proportional to 20,786,682,978 and 42,675,331,144 is: 87,613,011,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786,682,978 : 42,675,331,144 = 42,675,331,144 : x
  2. Step 2: Convert to fraction form
    20,786,682,978/42,675,331,144 = 42,675,331,144/x
  3. Step 3: Cross multiply
    20,786,682,978x = 42,675,331,144 × 42,675,331,144
  4. Step 4: Simplify right side
    20,786,682,978x = 1,821,183,888,250,056,474,624
  5. Step 5: Solve for x
    x = 1,821,183,888,250,056,474,624/20,786,682,978
  6. Step 6: Final answer
    x = 87,613,011,184.98

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