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Finding the Third Proportional to 5,049,728 and 7,102,797

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Solution

The third proportional to 5,049,728 and 7,102,797 is: 9,990,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049,728 : 7,102,797 = 7,102,797 : x
  2. Step 2: Convert to fraction form
    5,049,728/7,102,797 = 7,102,797/x
  3. Step 3: Cross multiply
    5,049,728x = 7,102,797 × 7,102,797
  4. Step 4: Simplify right side
    5,049,728x = 50,449,725,223,209
  5. Step 5: Solve for x
    x = 50,449,725,223,209/5,049,728
  6. Step 6: Final answer
    x = 9,990,582.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.