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Finding the Third Proportional to 20,413,887.75 and 32,340,199.50

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Solution

The third proportional to 20,413,887.75 and 32,340,199.50 is: 51,234,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413,887.75 : 32,340,199.50 = 32,340,199.50 : x
  2. Step 2: Convert to fraction form
    20,413,887.75/32,340,199.50 = 32,340,199.50/x
  3. Step 3: Cross multiply
    20,413,887.75x = 32,340,199.50 × 32,340,199.50
  4. Step 4: Simplify right side
    20,413,887.75x = 1,045,888,503,699,800.25
  5. Step 5: Solve for x
    x = 1,045,888,503,699,800.25/20,413,887.75
  6. Step 6: Final answer
    x = 51,234,165.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.