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Finding the Third Proportional to 34,677,727 and 54,002,144

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Solution

The third proportional to 34,677,727 and 54,002,144 is: 84,095,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,677,727 : 54,002,144 = 54,002,144 : x
  2. Step 2: Convert to fraction form
    34,677,727/54,002,144 = 54,002,144/x
  3. Step 3: Cross multiply
    34,677,727x = 54,002,144 × 54,002,144
  4. Step 4: Simplify right side
    34,677,727x = 2,916,231,556,596,736
  5. Step 5: Solve for x
    x = 2,916,231,556,596,736/34,677,727
  6. Step 6: Final answer
    x = 84,095,233.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.