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Finding the Third Proportional to 11,946,912 and 18,373,728

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Solution

The third proportional to 11,946,912 and 18,373,728 is: 28,257,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946,912 : 18,373,728 = 18,373,728 : x
  2. Step 2: Convert to fraction form
    11,946,912/18,373,728 = 18,373,728/x
  3. Step 3: Cross multiply
    11,946,912x = 18,373,728 × 18,373,728
  4. Step 4: Simplify right side
    11,946,912x = 337,593,880,617,984
  5. Step 5: Solve for x
    x = 337,593,880,617,984/11,946,912
  6. Step 6: Final answer
    x = 28,257,836.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.