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Finding the Third Proportional to 8,253,378 and 19,419,851

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Solution

The third proportional to 8,253,378 and 19,419,851 is: 45,694,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253,378 : 19,419,851 = 19,419,851 : x
  2. Step 2: Convert to fraction form
    8,253,378/19,419,851 = 19,419,851/x
  3. Step 3: Cross multiply
    8,253,378x = 19,419,851 × 19,419,851
  4. Step 4: Simplify right side
    8,253,378x = 377,130,612,862,201
  5. Step 5: Solve for x
    x = 377,130,612,862,201/8,253,378
  6. Step 6: Final answer
    x = 45,694,091.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.