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Finding the Third Proportional to 2,557,032 and 5,512,590

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Solution

The third proportional to 2,557,032 and 5,512,590 is: 11,884,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,032 : 5,512,590 = 5,512,590 : x
  2. Step 2: Convert to fraction form
    2,557,032/5,512,590 = 5,512,590/x
  3. Step 3: Cross multiply
    2,557,032x = 5,512,590 × 5,512,590
  4. Step 4: Simplify right side
    2,557,032x = 30,388,648,508,100
  5. Step 5: Solve for x
    x = 30,388,648,508,100/2,557,032
  6. Step 6: Final answer
    x = 11,884,344.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.