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Finding the Third Proportional to 5,305,713.75 and 11,367,855

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Solution

The third proportional to 5,305,713.75 and 11,367,855 is: 24,356,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,713.75 : 11,367,855 = 11,367,855 : x
  2. Step 2: Convert to fraction form
    5,305,713.75/11,367,855 = 11,367,855/x
  3. Step 3: Cross multiply
    5,305,713.75x = 11,367,855 × 11,367,855
  4. Step 4: Simplify right side
    5,305,713.75x = 129,228,127,301,025
  5. Step 5: Solve for x
    x = 129,228,127,301,025/5,305,713.75
  6. Step 6: Final answer
    x = 24,356,407.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.