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Finding the Third Proportional to 51,450,273,104 and 111,448,007,110

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Solution

The third proportional to 51,450,273,104 and 111,448,007,110 is: 241,410,930,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,450,273,104 : 111,448,007,110 = 111,448,007,110 : x
  2. Step 2: Convert to fraction form
    51,450,273,104/111,448,007,110 = 111,448,007,110/x
  3. Step 3: Cross multiply
    51,450,273,104x = 111,448,007,110 × 111,448,007,110
  4. Step 4: Simplify right side
    51,450,273,104x = 12,420,658,288,790,610,116,608
  5. Step 5: Solve for x
    x = 12,420,658,288,790,610,116,608/51,450,273,104
  6. Step 6: Final answer
    x = 241,410,930,194.36

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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.