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Finding the Third Proportional to 31,885,544,544 and 68,503,006,532

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Solution

The third proportional to 31,885,544,544 and 68,503,006,532 is: 147,172,079,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885,544,544 : 68,503,006,532 = 68,503,006,532 : x
  2. Step 2: Convert to fraction form
    31,885,544,544/68,503,006,532 = 68,503,006,532/x
  3. Step 3: Cross multiply
    31,885,544,544x = 68,503,006,532 × 68,503,006,532
  4. Step 4: Simplify right side
    31,885,544,544x = 4,692,661,903,923,234,734,080
  5. Step 5: Solve for x
    x = 4,692,661,903,923,234,734,080/31,885,544,544
  6. Step 6: Final answer
    x = 147,172,079,731.86

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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.