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Finding the Third Proportional to 31,512,816,728 and 68,255,024,560

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Solution

The third proportional to 31,512,816,728 and 68,255,024,560 is: 147,836,622,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512,816,728 : 68,255,024,560 = 68,255,024,560 : x
  2. Step 2: Convert to fraction form
    31,512,816,728/68,255,024,560 = 68,255,024,560/x
  3. Step 3: Cross multiply
    31,512,816,728x = 68,255,024,560 × 68,255,024,560
  4. Step 4: Simplify right side
    31,512,816,728x = 4,658,748,377,686,203,170,816
  5. Step 5: Solve for x
    x = 4,658,748,377,686,203,170,816/31,512,816,728
  6. Step 6: Final answer
    x = 147,836,622,092.46

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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.