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Finding the Third Proportional to 496,017,792 and 816,745,344

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Solution

The third proportional to 496,017,792 and 816,745,344 is: 1,344,856,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,017,792 : 816,745,344 = 816,745,344 : x
  2. Step 2: Convert to fraction form
    496,017,792/816,745,344 = 816,745,344/x
  3. Step 3: Cross multiply
    496,017,792x = 816,745,344 × 816,745,344
  4. Step 4: Simplify right side
    496,017,792x = 667,072,956,945,678,336
  5. Step 5: Solve for x
    x = 667,072,956,945,678,336/496,017,792
  6. Step 6: Final answer
    x = 1,344,856,913.81

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Why These Related Problems?

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