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Finding the Third Proportional to 20,895,811 and 31,659,741

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Solution

The third proportional to 20,895,811 and 31,659,741 is: 47,968,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,895,811 : 31,659,741 = 31,659,741 : x
  2. Step 2: Convert to fraction form
    20,895,811/31,659,741 = 31,659,741/x
  3. Step 3: Cross multiply
    20,895,811x = 31,659,741 × 31,659,741
  4. Step 4: Simplify right side
    20,895,811x = 1,002,339,200,187,081
  5. Step 5: Solve for x
    x = 1,002,339,200,187,081/20,895,811
  6. Step 6: Final answer
    x = 47,968,427.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.