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Finding the Third Proportional to 51,284,892,267.75 and 111,398,190,033.75

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Solution

The third proportional to 51,284,892,267.75 and 111,398,190,033.75 is: 241,972,951,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,284,892,267.75 : 111,398,190,033.75 = 111,398,190,033.75 : x
  2. Step 2: Convert to fraction form
    51,284,892,267.75/111,398,190,033.75 = 111,398,190,033.75/x
  3. Step 3: Cross multiply
    51,284,892,267.75x = 111,398,190,033.75 × 111,398,190,033.75
  4. Step 4: Simplify right side
    51,284,892,267.75x = 12,409,556,742,795,478,171,648
  5. Step 5: Solve for x
    x = 12,409,556,742,795,478,171,648/51,284,892,267.75
  6. Step 6: Final answer
    x = 241,972,951,371.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.