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Finding the Third Proportional to 273,241,302 and 419,728,563

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Solution

The third proportional to 273,241,302 and 419,728,563 is: 644,749,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,241,302 : 419,728,563 = 419,728,563 : x
  2. Step 2: Convert to fraction form
    273,241,302/419,728,563 = 419,728,563/x
  3. Step 3: Cross multiply
    273,241,302x = 419,728,563 × 419,728,563
  4. Step 4: Simplify right side
    273,241,302x = 176,172,066,598,044,960
  5. Step 5: Solve for x
    x = 176,172,066,598,044,960/273,241,302
  6. Step 6: Final answer
    x = 644,749,037.97

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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.