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Finding the Third Proportional to 8,656,749 and 18,471,546

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Solution

The third proportional to 8,656,749 and 18,471,546 is: 39,414,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656,749 : 18,471,546 = 18,471,546 : x
  2. Step 2: Convert to fraction form
    8,656,749/18,471,546 = 18,471,546/x
  3. Step 3: Cross multiply
    8,656,749x = 18,471,546 × 18,471,546
  4. Step 4: Simplify right side
    8,656,749x = 341,198,011,630,116
  5. Step 5: Solve for x
    x = 341,198,011,630,116/8,656,749
  6. Step 6: Final answer
    x = 39,414,104.72

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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.