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Finding the Third Proportional to 51,450,273,102 and 111,448,007,106

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Solution

The third proportional to 51,450,273,102 and 111,448,007,106 is: 241,410,930,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,450,273,102 : 111,448,007,106 = 111,448,007,106 : x
  2. Step 2: Convert to fraction form
    51,450,273,102/111,448,007,106 = 111,448,007,106/x
  3. Step 3: Cross multiply
    51,450,273,102x = 111,448,007,106 × 111,448,007,106
  4. Step 4: Simplify right side
    51,450,273,102x = 12,420,658,287,899,026,915,328
  5. Step 5: Solve for x
    x = 12,420,658,287,899,026,915,328/51,450,273,102
  6. Step 6: Final answer
    x = 241,410,930,186.42

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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.