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Finding the Third Proportional to 26,823,540 and 54,886,632

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Solution

The third proportional to 26,823,540 and 54,886,632 is: 112,309,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823,540 : 54,886,632 = 54,886,632 : x
  2. Step 2: Convert to fraction form
    26,823,540/54,886,632 = 54,886,632/x
  3. Step 3: Cross multiply
    26,823,540x = 54,886,632 × 54,886,632
  4. Step 4: Simplify right side
    26,823,540x = 3,012,542,372,303,424
  5. Step 5: Solve for x
    x = 3,012,542,372,303,424/26,823,540
  6. Step 6: Final answer
    x = 112,309,649.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.