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Finding the Third Proportional to 3,227,911 and 6,990,206

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Solution

The third proportional to 3,227,911 and 6,990,206 is: 15,137,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227,911 : 6,990,206 = 6,990,206 : x
  2. Step 2: Convert to fraction form
    3,227,911/6,990,206 = 6,990,206/x
  3. Step 3: Cross multiply
    3,227,911x = 6,990,206 × 6,990,206
  4. Step 4: Simplify right side
    3,227,911x = 48,862,979,922,436
  5. Step 5: Solve for x
    x = 48,862,979,922,436/3,227,911
  6. Step 6: Final answer
    x = 15,137,647.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.