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Finding the Third Proportional to 4,498,100.69 and 9,794,861.38

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Solution

The third proportional to 4,498,100.69 and 9,794,861.38 is: 21,328,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498,100.69 : 9,794,861.38 = 9,794,861.38 : x
  2. Step 2: Convert to fraction form
    4,498,100.69/9,794,861.38 = 9,794,861.38/x
  3. Step 3: Cross multiply
    4,498,100.69x = 9,794,861.38 × 9,794,861.38
  4. Step 4: Simplify right side
    4,498,100.69x = 95,939,309,355,466.89
  5. Step 5: Solve for x
    x = 95,939,309,355,466.89/4,498,100.69
  6. Step 6: Final answer
    x = 21,328,848.78

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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.