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Finding the Third Proportional to 38,476,612,746 and 82,743,823,400

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Solution

The third proportional to 38,476,612,746 and 82,743,823,400 is: 177,940,307,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476,612,746 : 82,743,823,400 = 82,743,823,400 : x
  2. Step 2: Convert to fraction form
    38,476,612,746/82,743,823,400 = 82,743,823,400/x
  3. Step 3: Cross multiply
    38,476,612,746x = 82,743,823,400 × 82,743,823,400
  4. Step 4: Simplify right side
    38,476,612,746x = 6,846,540,310,850,387,836,928
  5. Step 5: Solve for x
    x = 6,846,540,310,850,387,836,928/38,476,612,746
  6. Step 6: Final answer
    x = 177,940,307,688.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.