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Finding the Third Proportional to 6,965,856 and 10,489,824

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Solution

The third proportional to 6,965,856 and 10,489,824 is: 15,796,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,856 : 10,489,824 = 10,489,824 : x
  2. Step 2: Convert to fraction form
    6,965,856/10,489,824 = 10,489,824/x
  3. Step 3: Cross multiply
    6,965,856x = 10,489,824 × 10,489,824
  4. Step 4: Simplify right side
    6,965,856x = 110,036,407,550,976
  5. Step 5: Solve for x
    x = 110,036,407,550,976/6,965,856
  6. Step 6: Final answer
    x = 15,796,537.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.