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Finding the Third Proportional to 11,821,932 and 25,467,576

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Solution

The third proportional to 11,821,932 and 25,467,576 is: 54,863,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821,932 : 25,467,576 = 25,467,576 : x
  2. Step 2: Convert to fraction form
    11,821,932/25,467,576 = 25,467,576/x
  3. Step 3: Cross multiply
    11,821,932x = 25,467,576 × 25,467,576
  4. Step 4: Simplify right side
    11,821,932x = 648,597,427,315,776
  5. Step 5: Solve for x
    x = 648,597,427,315,776/11,821,932
  6. Step 6: Final answer
    x = 54,863,911.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.