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Finding the Third Proportional to 81,419,400 and 175,593,024

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Solution

The third proportional to 81,419,400 and 175,593,024 is: 378,692,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,419,400 : 175,593,024 = 175,593,024 : x
  2. Step 2: Convert to fraction form
    81,419,400/175,593,024 = 175,593,024/x
  3. Step 3: Cross multiply
    81,419,400x = 175,593,024 × 175,593,024
  4. Step 4: Simplify right side
    81,419,400x = 30,832,910,077,464,576
  5. Step 5: Solve for x
    x = 30,832,910,077,464,576/81,419,400
  6. Step 6: Final answer
    x = 378,692,425.61

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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.