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Finding the Third Proportional to 5,389,344 and 11,484,198

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Solution

The third proportional to 5,389,344 and 11,484,198 is: 24,471,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389,344 : 11,484,198 = 11,484,198 : x
  2. Step 2: Convert to fraction form
    5,389,344/11,484,198 = 11,484,198/x
  3. Step 3: Cross multiply
    5,389,344x = 11,484,198 × 11,484,198
  4. Step 4: Simplify right side
    5,389,344x = 131,886,803,703,204
  5. Step 5: Solve for x
    x = 131,886,803,703,204/5,389,344
  6. Step 6: Final answer
    x = 24,471,773.13

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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.