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Finding the Third Proportional to 31,891,180,956 and 68,331,203,380

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Solution

The third proportional to 31,891,180,956 and 68,331,203,380 is: 146,408,919,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891,180,956 : 68,331,203,380 = 68,331,203,380 : x
  2. Step 2: Convert to fraction form
    31,891,180,956/68,331,203,380 = 68,331,203,380/x
  3. Step 3: Cross multiply
    31,891,180,956x = 68,331,203,380 × 68,331,203,380
  4. Step 4: Simplify right side
    31,891,180,956x = 4,669,153,355,358,923,653,120
  5. Step 5: Solve for x
    x = 4,669,153,355,358,923,653,120/31,891,180,956
  6. Step 6: Final answer
    x = 146,408,919,813.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.