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Finding the Third Proportional to 2,944,177.50 and 5,996,611.50

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Solution

The third proportional to 2,944,177.50 and 5,996,611.50 is: 12,213,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944,177.50 : 5,996,611.50 = 5,996,611.50 : x
  2. Step 2: Convert to fraction form
    2,944,177.50/5,996,611.50 = 5,996,611.50/x
  3. Step 3: Cross multiply
    2,944,177.50x = 5,996,611.50 × 5,996,611.50
  4. Step 4: Simplify right side
    2,944,177.50x = 35,959,349,481,932.25
  5. Step 5: Solve for x
    x = 35,959,349,481,932.25/2,944,177.50
  6. Step 6: Final answer
    x = 12,213,716.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.