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Finding the Third Proportional to 31,903,517,242 and 69,811,101,860

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Solution

The third proportional to 31,903,517,242 and 69,811,101,860 is: 152,760,271,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903,517,242 : 69,811,101,860 = 69,811,101,860 : x
  2. Step 2: Convert to fraction form
    31,903,517,242/69,811,101,860 = 69,811,101,860/x
  3. Step 3: Cross multiply
    31,903,517,242x = 69,811,101,860 × 69,811,101,860
  4. Step 4: Simplify right side
    31,903,517,242x = 4,873,589,942,907,295,498,240
  5. Step 5: Solve for x
    x = 4,873,589,942,907,295,498,240/31,903,517,242
  6. Step 6: Final answer
    x = 152,760,271,099.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.