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Finding the Third Proportional to 20,709,432 and 32,416,200

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Solution

The third proportional to 20,709,432 and 32,416,200 is: 50,740,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709,432 : 32,416,200 = 32,416,200 : x
  2. Step 2: Convert to fraction form
    20,709,432/32,416,200 = 32,416,200/x
  3. Step 3: Cross multiply
    20,709,432x = 32,416,200 × 32,416,200
  4. Step 4: Simplify right side
    20,709,432x = 1,050,810,022,440,000
  5. Step 5: Solve for x
    x = 1,050,810,022,440,000/20,709,432
  6. Step 6: Final answer
    x = 50,740,649.11

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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.