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Finding the Third Proportional to 43,068,133 and 66,198,834

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Solution

The third proportional to 43,068,133 and 66,198,834 is: 101,752,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,068,133 : 66,198,834 = 66,198,834 : x
  2. Step 2: Convert to fraction form
    43,068,133/66,198,834 = 66,198,834/x
  3. Step 3: Cross multiply
    43,068,133x = 66,198,834 × 66,198,834
  4. Step 4: Simplify right side
    43,068,133x = 4,382,285,622,959,556
  5. Step 5: Solve for x
    x = 4,382,285,622,959,556/43,068,133
  6. Step 6: Final answer
    x = 101,752,393.65

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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.