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Finding the Third Proportional to 43,009,498,948 and 67,469,212,720

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Solution

The third proportional to 43,009,498,948 and 67,469,212,720 is: 105,839,286,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,009,498,948 : 67,469,212,720 = 67,469,212,720 : x
  2. Step 2: Convert to fraction form
    43,009,498,948/67,469,212,720 = 67,469,212,720/x
  3. Step 3: Cross multiply
    43,009,498,948x = 67,469,212,720 × 67,469,212,720
  4. Step 4: Simplify right side
    43,009,498,948x = 4,552,094,665,056,609,894,400
  5. Step 5: Solve for x
    x = 4,552,094,665,056,609,894,400/43,009,498,948
  6. Step 6: Final answer
    x = 105,839,286,120.50

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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.