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Finding the Third Proportional to 11,486,832.50 and 17,784,144.75

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Solution

The third proportional to 11,486,832.50 and 17,784,144.75 is: 27,533,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486,832.50 : 17,784,144.75 = 17,784,144.75 : x
  2. Step 2: Convert to fraction form
    11,486,832.50/17,784,144.75 = 17,784,144.75/x
  3. Step 3: Cross multiply
    11,486,832.50x = 17,784,144.75 × 17,784,144.75
  4. Step 4: Simplify right side
    11,486,832.50x = 316,275,804,488,952.56
  5. Step 5: Solve for x
    x = 316,275,804,488,952.56/11,486,832.50
  6. Step 6: Final answer
    x = 27,533,770.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.