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Finding the Third Proportional to 10,288,785.50 and 21,944,041

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Solution

The third proportional to 10,288,785.50 and 21,944,041 is: 46,802,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288,785.50 : 21,944,041 = 21,944,041 : x
  2. Step 2: Convert to fraction form
    10,288,785.50/21,944,041 = 21,944,041/x
  3. Step 3: Cross multiply
    10,288,785.50x = 21,944,041 × 21,944,041
  4. Step 4: Simplify right side
    10,288,785.50x = 481,540,935,409,681
  5. Step 5: Solve for x
    x = 481,540,935,409,681/10,288,785.50
  6. Step 6: Final answer
    x = 46,802,505.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.