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Finding the Third Proportional to 43,068,138 and 66,198,842

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Solution

The third proportional to 43,068,138 and 66,198,842 is: 101,752,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,068,138 : 66,198,842 = 66,198,842 : x
  2. Step 2: Convert to fraction form
    43,068,138/66,198,842 = 66,198,842/x
  3. Step 3: Cross multiply
    43,068,138x = 66,198,842 × 66,198,842
  4. Step 4: Simplify right side
    43,068,138x = 4,382,286,682,140,964
  5. Step 5: Solve for x
    x = 4,382,286,682,140,964/43,068,138
  6. Step 6: Final answer
    x = 101,752,406.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.