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Finding the Third Proportional to 51,450,273,106 and 111,448,007,114

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Solution

The third proportional to 51,450,273,106 and 111,448,007,114 is: 241,410,930,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,450,273,106 : 111,448,007,114 = 111,448,007,114 : x
  2. Step 2: Convert to fraction form
    51,450,273,106/111,448,007,114 = 111,448,007,114/x
  3. Step 3: Cross multiply
    51,450,273,106x = 111,448,007,114 × 111,448,007,114
  4. Step 4: Simplify right side
    51,450,273,106x = 12,420,658,289,682,195,415,040
  5. Step 5: Solve for x
    x = 12,420,658,289,682,195,415,040/51,450,273,106
  6. Step 6: Final answer
    x = 241,410,930,202.31

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Why These Related Problems?

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