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Finding the Third Proportional to 20,289,288.25 and 41,287,162.25

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Solution

The third proportional to 20,289,288.25 and 41,287,162.25 is: 84,016,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289,288.25 : 41,287,162.25 = 41,287,162.25 : x
  2. Step 2: Convert to fraction form
    20,289,288.25/41,287,162.25 = 41,287,162.25/x
  3. Step 3: Cross multiply
    20,289,288.25x = 41,287,162.25 × 41,287,162.25
  4. Step 4: Simplify right side
    20,289,288.25x = 1,704,629,766,657,825
  5. Step 5: Solve for x
    x = 1,704,629,766,657,825/20,289,288.25
  6. Step 6: Final answer
    x = 84,016,242.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.