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Finding the Third Proportional to 20,709,432.50 and 32,416,200.75

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Solution

The third proportional to 20,709,432.50 and 32,416,200.75 is: 50,740,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709,432.50 : 32,416,200.75 = 32,416,200.75 : x
  2. Step 2: Convert to fraction form
    20,709,432.50/32,416,200.75 = 32,416,200.75/x
  3. Step 3: Cross multiply
    20,709,432.50x = 32,416,200.75 × 32,416,200.75
  4. Step 4: Simplify right side
    20,709,432.50x = 1,050,810,071,064,300.50
  5. Step 5: Solve for x
    x = 1,050,810,071,064,300.50/20,709,432.50
  6. Step 6: Final answer
    x = 50,740,650.24

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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.