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Finding the Third Proportional to 10,498,743 and 21,835,542

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Solution

The third proportional to 10,498,743 and 21,835,542 is: 45,414,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498,743 : 21,835,542 = 21,835,542 : x
  2. Step 2: Convert to fraction form
    10,498,743/21,835,542 = 21,835,542/x
  3. Step 3: Cross multiply
    10,498,743x = 21,835,542 × 21,835,542
  4. Step 4: Simplify right side
    10,498,743x = 476,790,894,433,764
  5. Step 5: Solve for x
    x = 476,790,894,433,764/10,498,743
  6. Step 6: Final answer
    x = 45,414,093.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.