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Finding the Third Proportional to 603,103,716 and 1,313,002,035

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Solution

The third proportional to 603,103,716 and 1,313,002,035 is: 2,858,503,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,103,716 : 1,313,002,035 = 1,313,002,035 : x
  2. Step 2: Convert to fraction form
    603,103,716/1,313,002,035 = 1,313,002,035/x
  3. Step 3: Cross multiply
    603,103,716x = 1,313,002,035 × 1,313,002,035
  4. Step 4: Simplify right side
    603,103,716x = 1,723,974,343,914,141,184
  5. Step 5: Solve for x
    x = 1,723,974,343,914,141,184/603,103,716
  6. Step 6: Final answer
    x = 2,858,503,932.54

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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.