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Finding the Third Proportional to 11,344,912 and 24,284,512

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Solution

The third proportional to 11,344,912 and 24,284,512 is: 51,982,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344,912 : 24,284,512 = 24,284,512 : x
  2. Step 2: Convert to fraction form
    11,344,912/24,284,512 = 24,284,512/x
  3. Step 3: Cross multiply
    11,344,912x = 24,284,512 × 24,284,512
  4. Step 4: Simplify right side
    11,344,912x = 589,737,523,078,144
  5. Step 5: Solve for x
    x = 589,737,523,078,144/11,344,912
  6. Step 6: Final answer
    x = 51,982,555.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.