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Finding the Third Proportional to 31,512,816,726 and 68,255,024,556

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Solution

The third proportional to 31,512,816,726 and 68,255,024,556 is: 147,836,622,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512,816,726 : 68,255,024,556 = 68,255,024,556 : x
  2. Step 2: Convert to fraction form
    31,512,816,726/68,255,024,556 = 68,255,024,556/x
  3. Step 3: Cross multiply
    31,512,816,726x = 68,255,024,556 × 68,255,024,556
  4. Step 4: Simplify right side
    31,512,816,726x = 4,658,748,377,140,162,985,984
  5. Step 5: Solve for x
    x = 4,658,748,377,140,162,985,984/31,512,816,726
  6. Step 6: Final answer
    x = 147,836,622,084.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.