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Finding the Third Proportional to 31,903,517,240 and 69,811,101,856

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Solution

The third proportional to 31,903,517,240 and 69,811,101,856 is: 152,760,271,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903,517,240 : 69,811,101,856 = 69,811,101,856 : x
  2. Step 2: Convert to fraction form
    31,903,517,240/69,811,101,856 = 69,811,101,856/x
  3. Step 3: Cross multiply
    31,903,517,240x = 69,811,101,856 × 69,811,101,856
  4. Step 4: Simplify right side
    31,903,517,240x = 4,873,589,942,348,807,143,424
  5. Step 5: Solve for x
    x = 4,873,589,942,348,807,143,424/31,903,517,240
  6. Step 6: Final answer
    x = 152,760,271,091.31

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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.