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Finding the Third Proportional to 273,216,832 and 419,694,472

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Solution

The third proportional to 273,216,832 and 419,694,472 is: 644,702,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,216,832 : 419,694,472 = 419,694,472 : x
  2. Step 2: Convert to fraction form
    273,216,832/419,694,472 = 419,694,472/x
  3. Step 3: Cross multiply
    273,216,832x = 419,694,472 × 419,694,472
  4. Step 4: Simplify right side
    273,216,832x = 176,143,449,827,358,784
  5. Step 5: Solve for x
    x = 176,143,449,827,358,784/273,216,832
  6. Step 6: Final answer
    x = 644,702,043.20

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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.