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Finding the Third Proportional to 4,195,014 and 6,369,849

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Solution

The third proportional to 4,195,014 and 6,369,849 is: 9,672,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195,014 : 6,369,849 = 6,369,849 : x
  2. Step 2: Convert to fraction form
    4,195,014/6,369,849 = 6,369,849/x
  3. Step 3: Cross multiply
    4,195,014x = 6,369,849 × 6,369,849
  4. Step 4: Simplify right side
    4,195,014x = 40,574,976,282,801
  5. Step 5: Solve for x
    x = 40,574,976,282,801/4,195,014
  6. Step 6: Final answer
    x = 9,672,190.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.