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Finding the Third Proportional to 11,961,720 and 25,489,296

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Solution

The third proportional to 11,961,720 and 25,489,296 is: 54,315,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961,720 : 25,489,296 = 25,489,296 : x
  2. Step 2: Convert to fraction form
    11,961,720/25,489,296 = 25,489,296/x
  3. Step 3: Cross multiply
    11,961,720x = 25,489,296 × 25,489,296
  4. Step 4: Simplify right side
    11,961,720x = 649,704,210,575,616
  5. Step 5: Solve for x
    x = 649,704,210,575,616/11,961,720
  6. Step 6: Final answer
    x = 54,315,283.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.