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Finding the Third Proportional to 227,992,380 and 462,328,912

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Solution

The third proportional to 227,992,380 and 462,328,912 is: 937,522,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,992,380 : 462,328,912 = 462,328,912 : x
  2. Step 2: Convert to fraction form
    227,992,380/462,328,912 = 462,328,912/x
  3. Step 3: Cross multiply
    227,992,380x = 462,328,912 × 462,328,912
  4. Step 4: Simplify right side
    227,992,380x = 213,748,022,871,103,744
  5. Step 5: Solve for x
    x = 213,748,022,871,103,744/227,992,380
  6. Step 6: Final answer
    x = 937,522,661.38

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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.