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Finding the Third Proportional to 4,103,186 and 9,498,941

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Solution

The third proportional to 4,103,186 and 9,498,941 is: 21,990,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103,186 : 9,498,941 = 9,498,941 : x
  2. Step 2: Convert to fraction form
    4,103,186/9,498,941 = 9,498,941/x
  3. Step 3: Cross multiply
    4,103,186x = 9,498,941 × 9,498,941
  4. Step 4: Simplify right side
    4,103,186x = 90,229,880,121,481
  5. Step 5: Solve for x
    x = 90,229,880,121,481/4,103,186
  6. Step 6: Final answer
    x = 21,990,199.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.