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Finding the Third Proportional to 548,083,419 and 1,278,905,472

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Solution

The third proportional to 548,083,419 and 1,278,905,472 is: 2,984,215,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,083,419 : 1,278,905,472 = 1,278,905,472 : x
  2. Step 2: Convert to fraction form
    548,083,419/1,278,905,472 = 1,278,905,472/x
  3. Step 3: Cross multiply
    548,083,419x = 1,278,905,472 × 1,278,905,472
  4. Step 4: Simplify right side
    548,083,419x = 1,635,599,206,311,542,784
  5. Step 5: Solve for x
    x = 1,635,599,206,311,542,784/548,083,419
  6. Step 6: Final answer
    x = 2,984,215,813.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.