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Finding the Third Proportional to 5,166,738 and 11,318,436

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Solution

The third proportional to 5,166,738 and 11,318,436 is: 24,794,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166,738 : 11,318,436 = 11,318,436 : x
  2. Step 2: Convert to fraction form
    5,166,738/11,318,436 = 11,318,436/x
  3. Step 3: Cross multiply
    5,166,738x = 11,318,436 × 11,318,436
  4. Step 4: Simplify right side
    5,166,738x = 128,106,993,486,096
  5. Step 5: Solve for x
    x = 128,106,993,486,096/5,166,738
  6. Step 6: Final answer
    x = 24,794,559.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.