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Finding the Third Proportional to 31,891,180,958 and 68,331,203,384

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Solution

The third proportional to 31,891,180,958 and 68,331,203,384 is: 146,408,919,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891,180,958 : 68,331,203,384 = 68,331,203,384 : x
  2. Step 2: Convert to fraction form
    31,891,180,958/68,331,203,384 = 68,331,203,384/x
  3. Step 3: Cross multiply
    31,891,180,958x = 68,331,203,384 × 68,331,203,384
  4. Step 4: Simplify right side
    31,891,180,958x = 4,669,153,355,905,573,060,608
  5. Step 5: Solve for x
    x = 4,669,153,355,905,573,060,608/31,891,180,958
  6. Step 6: Final answer
    x = 146,408,919,821.90

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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.