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Finding the Third Proportional to 7,796,736 and 11,695,104

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Solution

The third proportional to 7,796,736 and 11,695,104 is: 17,542,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796,736 : 11,695,104 = 11,695,104 : x
  2. Step 2: Convert to fraction form
    7,796,736/11,695,104 = 11,695,104/x
  3. Step 3: Cross multiply
    7,796,736x = 11,695,104 × 11,695,104
  4. Step 4: Simplify right side
    7,796,736x = 136,775,457,570,816
  5. Step 5: Solve for x
    x = 136,775,457,570,816/7,796,736
  6. Step 6: Final answer
    x = 17,542,656

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.