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Finding the Third Proportional to 11,180,462 and 23,825,116

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Solution

The third proportional to 11,180,462 and 23,825,116 is: 50,770,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180,462 : 23,825,116 = 23,825,116 : x
  2. Step 2: Convert to fraction form
    11,180,462/23,825,116 = 23,825,116/x
  3. Step 3: Cross multiply
    11,180,462x = 23,825,116 × 23,825,116
  4. Step 4: Simplify right side
    11,180,462x = 567,636,152,413,456
  5. Step 5: Solve for x
    x = 567,636,152,413,456/11,180,462
  6. Step 6: Final answer
    x = 50,770,366.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.