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Finding the Third Proportional to 12,380,917.50 and 16,512,313.50

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Solution

The third proportional to 12,380,917.50 and 16,512,313.50 is: 22,022,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380,917.50 : 16,512,313.50 = 16,512,313.50 : x
  2. Step 2: Convert to fraction form
    12,380,917.50/16,512,313.50 = 16,512,313.50/x
  3. Step 3: Cross multiply
    12,380,917.50x = 16,512,313.50 × 16,512,313.50
  4. Step 4: Simplify right side
    12,380,917.50x = 272,656,497,122,282.25
  5. Step 5: Solve for x
    x = 272,656,497,122,282.25/12,380,917.50
  6. Step 6: Final answer
    x = 22,022,317.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.