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Finding the Third Proportional to 2,663,013.38 and 5,824,227.38

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Solution

The third proportional to 2,663,013.38 and 5,824,227.38 is: 12,738,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663,013.38 : 5,824,227.38 = 5,824,227.38 : x
  2. Step 2: Convert to fraction form
    2,663,013.38/5,824,227.38 = 5,824,227.38/x
  3. Step 3: Cross multiply
    2,663,013.38x = 5,824,227.38 × 5,824,227.38
  4. Step 4: Simplify right side
    2,663,013.38x = 33,921,624,515,699.39
  5. Step 5: Solve for x
    x = 33,921,624,515,699.39/2,663,013.38
  6. Step 6: Final answer
    x = 12,738,060.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.