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Finding the Third Proportional to 496,017,808 and 816,745,368

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Solution

The third proportional to 496,017,808 and 816,745,368 is: 1,344,856,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,017,808 : 816,745,368 = 816,745,368 : x
  2. Step 2: Convert to fraction form
    496,017,808/816,745,368 = 816,745,368/x
  3. Step 3: Cross multiply
    496,017,808x = 816,745,368 × 816,745,368
  4. Step 4: Simplify right side
    496,017,808x = 667,072,996,149,455,360
  5. Step 5: Solve for x
    x = 667,072,996,149,455,360/496,017,808
  6. Step 6: Final answer
    x = 1,344,856,949.47

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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.