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Finding the Third Proportional to 27,022,048 and 41,825,588

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Solution

The third proportional to 27,022,048 and 41,825,588 is: 64,738,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022,048 : 41,825,588 = 41,825,588 : x
  2. Step 2: Convert to fraction form
    27,022,048/41,825,588 = 41,825,588/x
  3. Step 3: Cross multiply
    27,022,048x = 41,825,588 × 41,825,588
  4. Step 4: Simplify right side
    27,022,048x = 1,749,379,811,545,744
  5. Step 5: Solve for x
    x = 1,749,379,811,545,744/27,022,048
  6. Step 6: Final answer
    x = 64,738,979.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.