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Finding the Third Proportional to 5,497,923 and 11,372,981

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Solution

The third proportional to 5,497,923 and 11,372,981 is: 23,526,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497,923 : 11,372,981 = 11,372,981 : x
  2. Step 2: Convert to fraction form
    5,497,923/11,372,981 = 11,372,981/x
  3. Step 3: Cross multiply
    5,497,923x = 11,372,981 × 11,372,981
  4. Step 4: Simplify right side
    5,497,923x = 129,344,696,826,361
  5. Step 5: Solve for x
    x = 129,344,696,826,361/5,497,923
  6. Step 6: Final answer
    x = 23,526,101.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.