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Finding the Third Proportional to 40,942,222,188 and 62,903,199,378

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Solution

The third proportional to 40,942,222,188 and 62,903,199,378 is: 96,643,813,660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,942,222,188 : 62,903,199,378 = 62,903,199,378 : x
  2. Step 2: Convert to fraction form
    40,942,222,188/62,903,199,378 = 62,903,199,378/x
  3. Step 3: Cross multiply
    40,942,222,188x = 62,903,199,378 × 62,903,199,378
  4. Step 4: Simplify right side
    40,942,222,188x = 3,956,812,491,988,419,477,504
  5. Step 5: Solve for x
    x = 3,956,812,491,988,419,477,504/40,942,222,188
  6. Step 6: Final answer
    x = 96,643,813,660.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.