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Finding the Third Proportional to 7,268,796 and 11,253,696

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Solution

The third proportional to 7,268,796 and 11,253,696 is: 17,423,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,796 : 11,253,696 = 11,253,696 : x
  2. Step 2: Convert to fraction form
    7,268,796/11,253,696 = 11,253,696/x
  3. Step 3: Cross multiply
    7,268,796x = 11,253,696 × 11,253,696
  4. Step 4: Simplify right side
    7,268,796x = 126,645,673,660,416
  5. Step 5: Solve for x
    x = 126,645,673,660,416/7,268,796
  6. Step 6: Final answer
    x = 17,423,198.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.