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Finding the Third Proportional to 3,219,419 and 6,997,950

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Solution

The third proportional to 3,219,419 and 6,997,950 is: 15,211,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,419 : 6,997,950 = 6,997,950 : x
  2. Step 2: Convert to fraction form
    3,219,419/6,997,950 = 6,997,950/x
  3. Step 3: Cross multiply
    3,219,419x = 6,997,950 × 6,997,950
  4. Step 4: Simplify right side
    3,219,419x = 48,971,304,202,500
  5. Step 5: Solve for x
    x = 48,971,304,202,500/3,219,419
  6. Step 6: Final answer
    x = 15,211,224.20

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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.