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Finding the Third Proportional to 150,387,786,056 and 227,519,037,408

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Solution

The third proportional to 150,387,786,056 and 227,519,037,408 is: 344,209,551,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,387,786,056 : 227,519,037,408 = 227,519,037,408 : x
  2. Step 2: Convert to fraction form
    150,387,786,056/227,519,037,408 = 227,519,037,408/x
  3. Step 3: Cross multiply
    150,387,786,056x = 227,519,037,408 × 227,519,037,408
  4. Step 4: Simplify right side
    150,387,786,056x = 51,764,912,383,062,907,551,744
  5. Step 5: Solve for x
    x = 51,764,912,383,062,907,551,744/150,387,786,056
  6. Step 6: Final answer
    x = 344,209,551,457.77

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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.