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Finding the Third Proportional to 20,709,864 and 32,416,884

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Solution

The third proportional to 20,709,864 and 32,416,884 is: 50,741,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709,864 : 32,416,884 = 32,416,884 : x
  2. Step 2: Convert to fraction form
    20,709,864/32,416,884 = 32,416,884/x
  3. Step 3: Cross multiply
    20,709,864x = 32,416,884 × 32,416,884
  4. Step 4: Simplify right side
    20,709,864x = 1,050,854,368,269,456
  5. Step 5: Solve for x
    x = 1,050,854,368,269,456/20,709,864
  6. Step 6: Final answer
    x = 50,741,731.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.