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Finding the Third Proportional to 31,885,544,493 and 68,503,006,431

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Solution

The third proportional to 31,885,544,493 and 68,503,006,431 is: 147,172,079,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885,544,493 : 68,503,006,431 = 68,503,006,431 : x
  2. Step 2: Convert to fraction form
    31,885,544,493/68,503,006,431 = 68,503,006,431/x
  3. Step 3: Cross multiply
    31,885,544,493x = 68,503,006,431 × 68,503,006,431
  4. Step 4: Simplify right side
    31,885,544,493x = 4,692,661,890,085,627,101,184
  5. Step 5: Solve for x
    x = 4,692,661,890,085,627,101,184/31,885,544,493
  6. Step 6: Final answer
    x = 147,172,079,533.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.