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Finding the Third Proportional to 5,118,536 and 11,201,296

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Solution

The third proportional to 5,118,536 and 11,201,296 is: 24,512,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118,536 : 11,201,296 = 11,201,296 : x
  2. Step 2: Convert to fraction form
    5,118,536/11,201,296 = 11,201,296/x
  3. Step 3: Cross multiply
    5,118,536x = 11,201,296 × 11,201,296
  4. Step 4: Simplify right side
    5,118,536x = 125,469,032,079,616
  5. Step 5: Solve for x
    x = 125,469,032,079,616/5,118,536
  6. Step 6: Final answer
    x = 24,512,679.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.