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Finding the Third Proportional to 33,690,427 and 68,976,810

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Solution

The third proportional to 33,690,427 and 68,976,810 is: 141,221,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690,427 : 68,976,810 = 68,976,810 : x
  2. Step 2: Convert to fraction form
    33,690,427/68,976,810 = 68,976,810/x
  3. Step 3: Cross multiply
    33,690,427x = 68,976,810 × 68,976,810
  4. Step 4: Simplify right side
    33,690,427x = 4,757,800,317,776,100
  5. Step 5: Solve for x
    x = 4,757,800,317,776,100/33,690,427
  6. Step 6: Final answer
    x = 141,221,134.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.