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Finding the Third Proportional to 7,458,848,738 and 11,185,534,227

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Solution

The third proportional to 7,458,848,738 and 11,185,534,227 is: 16,774,194,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458,848,738 : 11,185,534,227 = 11,185,534,227 : x
  2. Step 2: Convert to fraction form
    7,458,848,738/11,185,534,227 = 11,185,534,227/x
  3. Step 3: Cross multiply
    7,458,848,738x = 11,185,534,227 × 11,185,534,227
  4. Step 4: Simplify right side
    7,458,848,738x = 125,116,175,943,388,479,488
  5. Step 5: Solve for x
    x = 125,116,175,943,388,479,488/7,458,848,738
  6. Step 6: Final answer
    x = 16,774,194,026.21

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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.