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Finding the Third Proportional to 12,554,736.75 and 17,769,827.25

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Solution

The third proportional to 12,554,736.75 and 17,769,827.25 is: 25,151,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554,736.75 : 17,769,827.25 = 17,769,827.25 : x
  2. Step 2: Convert to fraction form
    12,554,736.75/17,769,827.25 = 17,769,827.25/x
  3. Step 3: Cross multiply
    12,554,736.75x = 17,769,827.25 × 17,769,827.25
  4. Step 4: Simplify right side
    12,554,736.75x = 315,766,760,494,842.56
  5. Step 5: Solve for x
    x = 315,766,760,494,842.56/12,554,736.75
  6. Step 6: Final answer
    x = 25,151,205.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.