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Finding the Third Proportional to 81,419,462 and 175,593,180

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Solution

The third proportional to 81,419,462 and 175,593,180 is: 378,692,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,419,462 : 175,593,180 = 175,593,180 : x
  2. Step 2: Convert to fraction form
    81,419,462/175,593,180 = 175,593,180/x
  3. Step 3: Cross multiply
    81,419,462x = 175,593,180 × 175,593,180
  4. Step 4: Simplify right side
    81,419,462x = 30,832,964,862,512,400
  5. Step 5: Solve for x
    x = 30,832,964,862,512,400/81,419,462
  6. Step 6: Final answer
    x = 378,692,810.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.