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Finding the Third Proportional to 4,498,098 and 9,794,856

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Solution

The third proportional to 4,498,098 and 9,794,856 is: 21,328,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498,098 : 9,794,856 = 9,794,856 : x
  2. Step 2: Convert to fraction form
    4,498,098/9,794,856 = 9,794,856/x
  3. Step 3: Cross multiply
    4,498,098x = 9,794,856 × 9,794,856
  4. Step 4: Simplify right side
    4,498,098x = 95,939,204,060,736
  5. Step 5: Solve for x
    x = 95,939,204,060,736/4,498,098
  6. Step 6: Final answer
    x = 21,328,838.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.