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Finding the Third Proportional to 37,611,267 and 81,899,648.25

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Solution

The third proportional to 37,611,267 and 81,899,648.25 is: 178,338,910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,611,267 : 81,899,648.25 = 81,899,648.25 : x
  2. Step 2: Convert to fraction form
    37,611,267/81,899,648.25 = 81,899,648.25/x
  3. Step 3: Cross multiply
    37,611,267x = 81,899,648.25 × 81,899,648.25
  4. Step 4: Simplify right side
    37,611,267x = 6,707,552,383,473,728
  5. Step 5: Solve for x
    x = 6,707,552,383,473,728/37,611,267
  6. Step 6: Final answer
    x = 178,338,910.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.