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Finding the Third Proportional to 43,068,123 and 66,198,819

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Solution

The third proportional to 43,068,123 and 66,198,819 is: 101,752,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,068,123 : 66,198,819 = 66,198,819 : x
  2. Step 2: Convert to fraction form
    43,068,123/66,198,819 = 66,198,819/x
  3. Step 3: Cross multiply
    43,068,123x = 66,198,819 × 66,198,819
  4. Step 4: Simplify right side
    43,068,123x = 4,382,283,636,994,761
  5. Step 5: Solve for x
    x = 4,382,283,636,994,761/43,068,123
  6. Step 6: Final answer
    x = 101,752,371.17

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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.