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Finding the Third Proportional to 5,213,520 and 11,353,863

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Solution

The third proportional to 5,213,520 and 11,353,863 is: 24,726,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213,520 : 11,353,863 = 11,353,863 : x
  2. Step 2: Convert to fraction form
    5,213,520/11,353,863 = 11,353,863/x
  3. Step 3: Cross multiply
    5,213,520x = 11,353,863 × 11,353,863
  4. Step 4: Simplify right side
    5,213,520x = 128,910,205,022,769
  5. Step 5: Solve for x
    x = 128,910,205,022,769/5,213,520
  6. Step 6: Final answer
    x = 24,726,136.09

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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.