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Finding the Third Proportional to 11,821,954 and 25,467,614

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Solution

The third proportional to 11,821,954 and 25,467,614 is: 54,863,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821,954 : 25,467,614 = 25,467,614 : x
  2. Step 2: Convert to fraction form
    11,821,954/25,467,614 = 25,467,614/x
  3. Step 3: Cross multiply
    11,821,954x = 25,467,614 × 25,467,614
  4. Step 4: Simplify right side
    11,821,954x = 648,599,362,852,996
  5. Step 5: Solve for x
    x = 648,599,362,852,996/11,821,954
  6. Step 6: Final answer
    x = 54,863,972.81

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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.