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Finding the Third Proportional to 21,211,680,960 and 31,906,080,198

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Solution

The third proportional to 21,211,680,960 and 31,906,080,198 is: 47,992,328,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211,680,960 : 31,906,080,198 = 31,906,080,198 : x
  2. Step 2: Convert to fraction form
    21,211,680,960/31,906,080,198 = 31,906,080,198/x
  3. Step 3: Cross multiply
    21,211,680,960x = 31,906,080,198 × 31,906,080,198
  4. Step 4: Simplify right side
    21,211,680,960x = 1,017,997,953,601,207,664,640
  5. Step 5: Solve for x
    x = 1,017,997,953,601,207,664,640/21,211,680,960
  6. Step 6: Final answer
    x = 47,992,328,166.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.