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Finding the Third Proportional to 603,103,758 and 1,313,002,120

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Solution

The third proportional to 603,103,758 and 1,313,002,120 is: 2,858,504,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,103,758 : 1,313,002,120 = 1,313,002,120 : x
  2. Step 2: Convert to fraction form
    603,103,758/1,313,002,120 = 1,313,002,120/x
  3. Step 3: Cross multiply
    603,103,758x = 1,313,002,120 × 1,313,002,120
  4. Step 4: Simplify right side
    603,103,758x = 1,723,974,567,124,494,336
  5. Step 5: Solve for x
    x = 1,723,974,567,124,494,336/603,103,758
  6. Step 6: Final answer
    x = 2,858,504,103.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.