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Finding the Third Proportional to 51,777,441 and 86,285,493

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Solution

The third proportional to 51,777,441 and 86,285,493 is: 143,792,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,777,441 : 86,285,493 = 86,285,493 : x
  2. Step 2: Convert to fraction form
    51,777,441/86,285,493 = 86,285,493/x
  3. Step 3: Cross multiply
    51,777,441x = 86,285,493 × 86,285,493
  4. Step 4: Simplify right side
    51,777,441x = 7,445,186,302,253,049
  5. Step 5: Solve for x
    x = 7,445,186,302,253,049/51,777,441
  6. Step 6: Final answer
    x = 143,792,087.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.