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Finding the Third Proportional to 3,699,792,544 and 5,317,900,512

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Solution

The third proportional to 3,699,792,544 and 5,317,900,512 is: 7,643,689,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,792,544 : 5,317,900,512 = 5,317,900,512 : x
  2. Step 2: Convert to fraction form
    3,699,792,544/5,317,900,512 = 5,317,900,512/x
  3. Step 3: Cross multiply
    3,699,792,544x = 5,317,900,512 × 5,317,900,512
  4. Step 4: Simplify right side
    3,699,792,544x = 28,280,065,855,529,861,120
  5. Step 5: Solve for x
    x = 28,280,065,855,529,861,120/3,699,792,544
  6. Step 6: Final answer
    x = 7,643,689,617.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.