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Finding the Third Proportional to 496,017,236 and 816,744,694

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Solution

The third proportional to 496,017,236 and 816,744,694 is: 1,344,856,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,017,236 : 816,744,694 = 816,744,694 : x
  2. Step 2: Convert to fraction form
    496,017,236/816,744,694 = 816,744,694/x
  3. Step 3: Cross multiply
    496,017,236x = 816,744,694 × 816,744,694
  4. Step 4: Simplify right side
    496,017,236x = 667,071,895,177,153,664
  5. Step 5: Solve for x
    x = 667,071,895,177,153,664/496,017,236
  6. Step 6: Final answer
    x = 1,344,856,280.71

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.