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Finding the Third Proportional to 11,756,181.75 and 17,811,624.75

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Solution

The third proportional to 11,756,181.75 and 17,811,624.75 is: 26,986,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756,181.75 : 17,811,624.75 = 17,811,624.75 : x
  2. Step 2: Convert to fraction form
    11,756,181.75/17,811,624.75 = 17,811,624.75/x
  3. Step 3: Cross multiply
    11,756,181.75x = 17,811,624.75 × 17,811,624.75
  4. Step 4: Simplify right side
    11,756,181.75x = 317,253,976,234,812.56
  5. Step 5: Solve for x
    x = 317,253,976,234,812.56/11,756,181.75
  6. Step 6: Final answer
    x = 26,986,140.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.