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Finding the Third Proportional to 4,622,107 and 10,306,367

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Solution

The third proportional to 4,622,107 and 10,306,367 is: 22,981,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622,107 : 10,306,367 = 10,306,367 : x
  2. Step 2: Convert to fraction form
    4,622,107/10,306,367 = 10,306,367/x
  3. Step 3: Cross multiply
    4,622,107x = 10,306,367 × 10,306,367
  4. Step 4: Simplify right side
    4,622,107x = 106,221,200,738,689
  5. Step 5: Solve for x
    x = 106,221,200,738,689/4,622,107
  6. Step 6: Final answer
    x = 22,981,121.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.