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Finding the Third Proportional to 22,104,576 and 47,568,384

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Solution

The third proportional to 22,104,576 and 47,568,384 is: 102,365,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,104,576 : 47,568,384 = 47,568,384 : x
  2. Step 2: Convert to fraction form
    22,104,576/47,568,384 = 47,568,384/x
  3. Step 3: Cross multiply
    22,104,576x = 47,568,384 × 47,568,384
  4. Step 4: Simplify right side
    22,104,576x = 2,262,751,156,371,456
  5. Step 5: Solve for x
    x = 2,262,751,156,371,456/22,104,576
  6. Step 6: Final answer
    x = 102,365,734.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.