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Finding the Third Proportional to 2,648,992 and 5,537,824

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Solution

The third proportional to 2,648,992 and 5,537,824 is: 11,577,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,992 : 5,537,824 = 5,537,824 : x
  2. Step 2: Convert to fraction form
    2,648,992/5,537,824 = 5,537,824/x
  3. Step 3: Cross multiply
    2,648,992x = 5,537,824 × 5,537,824
  4. Step 4: Simplify right side
    2,648,992x = 30,667,494,654,976
  5. Step 5: Solve for x
    x = 30,667,494,654,976/2,648,992
  6. Step 6: Final answer
    x = 11,577,043.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.