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Finding the Third Proportional to 20,015,765.72 and 40,588,498.83

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Solution

The third proportional to 20,015,765.72 and 40,588,498.83 is: 82,306,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,015,765.72 : 40,588,498.83 = 40,588,498.83 : x
  2. Step 2: Convert to fraction form
    20,015,765.72/40,588,498.83 = 40,588,498.83/x
  3. Step 3: Cross multiply
    20,015,765.72x = 40,588,498.83 × 40,588,498.83
  4. Step 4: Simplify right side
    20,015,765.72x = 1,647,426,237,120,704.50
  5. Step 5: Solve for x
    x = 1,647,426,237,120,704.50/20,015,765.72
  6. Step 6: Final answer
    x = 82,306,430.85

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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.