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Finding the Third Proportional to 2,523,615.75 and 5,504,006.95

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Solution

The third proportional to 2,523,615.75 and 5,504,006.95 is: 12,004,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,615.75 : 5,504,006.95 = 5,504,006.95 : x
  2. Step 2: Convert to fraction form
    2,523,615.75/5,504,006.95 = 5,504,006.95/x
  3. Step 3: Cross multiply
    2,523,615.75x = 5,504,006.95 × 5,504,006.95
  4. Step 4: Simplify right side
    2,523,615.75x = 30,294,092,540,046.14
  5. Step 5: Solve for x
    x = 30,294,092,540,046.14/2,523,615.75
  6. Step 6: Final answer
    x = 12,004,241.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.