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Finding the Third Proportional to 43,009,498,945 and 67,469,212,715.75

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Solution

The third proportional to 43,009,498,945 and 67,469,212,715.75 is: 105,839,286,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,009,498,945 : 67,469,212,715.75 = 67,469,212,715.75 : x
  2. Step 2: Convert to fraction form
    43,009,498,945/67,469,212,715.75 = 67,469,212,715.75/x
  3. Step 3: Cross multiply
    43,009,498,945x = 67,469,212,715.75 × 67,469,212,715.75
  4. Step 4: Simplify right side
    43,009,498,945x = 4,552,094,664,483,121,659,904
  5. Step 5: Solve for x
    x = 4,552,094,664,483,121,659,904/43,009,498,945
  6. Step 6: Final answer
    x = 105,839,286,114.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.