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Finding the Third Proportional to 5,261,434 and 11,306,098

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Solution

The third proportional to 5,261,434 and 11,306,098 is: 24,295,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261,434 : 11,306,098 = 11,306,098 : x
  2. Step 2: Convert to fraction form
    5,261,434/11,306,098 = 11,306,098/x
  3. Step 3: Cross multiply
    5,261,434x = 11,306,098 × 11,306,098
  4. Step 4: Simplify right side
    5,261,434x = 127,827,851,985,604
  5. Step 5: Solve for x
    x = 127,827,851,985,604/5,261,434
  6. Step 6: Final answer
    x = 24,295,249.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.