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Finding the Third Proportional to 5,197,296 and 10,963,296

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Solution

The third proportional to 5,197,296 and 10,963,296 is: 23,126,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197,296 : 10,963,296 = 10,963,296 : x
  2. Step 2: Convert to fraction form
    5,197,296/10,963,296 = 10,963,296/x
  3. Step 3: Cross multiply
    5,197,296x = 10,963,296 × 10,963,296
  4. Step 4: Simplify right side
    5,197,296x = 120,193,859,183,616
  5. Step 5: Solve for x
    x = 120,193,859,183,616/5,197,296
  6. Step 6: Final answer
    x = 23,126,229.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.