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Finding the Third Proportional to 150,387,786,054 and 227,519,037,405

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Solution

The third proportional to 150,387,786,054 and 227,519,037,405 is: 344,209,551,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,387,786,054 : 227,519,037,405 = 227,519,037,405 : x
  2. Step 2: Convert to fraction form
    150,387,786,054/227,519,037,405 = 227,519,037,405/x
  3. Step 3: Cross multiply
    150,387,786,054x = 227,519,037,405 × 227,519,037,405
  4. Step 4: Simplify right side
    150,387,786,054x = 51,764,912,381,697,787,428,864
  5. Step 5: Solve for x
    x = 51,764,912,381,697,787,428,864/150,387,786,054
  6. Step 6: Final answer
    x = 344,209,551,453.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.