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Finding the Third Proportional to 38,476,612,736 and 82,743,823,382

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Solution

The third proportional to 38,476,612,736 and 82,743,823,382 is: 177,940,307,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476,612,736 : 82,743,823,382 = 82,743,823,382 : x
  2. Step 2: Convert to fraction form
    38,476,612,736/82,743,823,382 = 82,743,823,382/x
  3. Step 3: Cross multiply
    38,476,612,736x = 82,743,823,382 × 82,743,823,382
  4. Step 4: Simplify right side
    38,476,612,736x = 6,846,540,307,871,609,913,344
  5. Step 5: Solve for x
    x = 6,846,540,307,871,609,913,344/38,476,612,736
  6. Step 6: Final answer
    x = 177,940,307,657.74

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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.