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Finding the Third Proportional to 5,494,473 and 11,144,223

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Solution

The third proportional to 5,494,473 and 11,144,223 is: 22,603,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494,473 : 11,144,223 = 11,144,223 : x
  2. Step 2: Convert to fraction form
    5,494,473/11,144,223 = 11,144,223/x
  3. Step 3: Cross multiply
    5,494,473x = 11,144,223 × 11,144,223
  4. Step 4: Simplify right side
    5,494,473x = 124,193,706,273,729
  5. Step 5: Solve for x
    x = 124,193,706,273,729/5,494,473
  6. Step 6: Final answer
    x = 22,603,388.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.