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Finding the Third Proportional to 10,074,856 and 21,741,824

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Solution

The third proportional to 10,074,856 and 21,741,824 is: 46,919,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074,856 : 21,741,824 = 21,741,824 : x
  2. Step 2: Convert to fraction form
    10,074,856/21,741,824 = 21,741,824/x
  3. Step 3: Cross multiply
    10,074,856x = 21,741,824 × 21,741,824
  4. Step 4: Simplify right side
    10,074,856x = 472,706,910,846,976
  5. Step 5: Solve for x
    x = 472,706,910,846,976/10,074,856
  6. Step 6: Final answer
    x = 46,919,470.69

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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.