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Finding the Third Proportional to 8,234,676.25 and 17,886,923

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Solution

The third proportional to 8,234,676.25 and 17,886,923 is: 38,853,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234,676.25 : 17,886,923 = 17,886,923 : x
  2. Step 2: Convert to fraction form
    8,234,676.25/17,886,923 = 17,886,923/x
  3. Step 3: Cross multiply
    8,234,676.25x = 17,886,923 × 17,886,923
  4. Step 4: Simplify right side
    8,234,676.25x = 319,942,014,407,929
  5. Step 5: Solve for x
    x = 319,942,014,407,929/8,234,676.25
  6. Step 6: Final answer
    x = 38,853,016.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.