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Finding the Third Proportional to 20,440,786.50 and 31,418,896.50

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Solution

The third proportional to 20,440,786.50 and 31,418,896.50 is: 48,293,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,440,786.50 : 31,418,896.50 = 31,418,896.50 : x
  2. Step 2: Convert to fraction form
    20,440,786.50/31,418,896.50 = 31,418,896.50/x
  3. Step 3: Cross multiply
    20,440,786.50x = 31,418,896.50 × 31,418,896.50
  4. Step 4: Simplify right side
    20,440,786.50x = 987,147,057,277,712.25
  5. Step 5: Solve for x
    x = 987,147,057,277,712.25/20,440,786.50
  6. Step 6: Final answer
    x = 48,293,007.57

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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.