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Finding the Third Proportional to 7,458,848,736 and 11,185,534,224

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Solution

The third proportional to 7,458,848,736 and 11,185,534,224 is: 16,774,194,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458,848,736 : 11,185,534,224 = 11,185,534,224 : x
  2. Step 2: Convert to fraction form
    7,458,848,736/11,185,534,224 = 11,185,534,224/x
  3. Step 3: Cross multiply
    7,458,848,736x = 11,185,534,224 × 11,185,534,224
  4. Step 4: Simplify right side
    7,458,848,736x = 125,116,175,876,275,290,112
  5. Step 5: Solve for x
    x = 125,116,175,876,275,290,112/7,458,848,736
  6. Step 6: Final answer
    x = 16,774,194,021.71

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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.