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Finding the Third Proportional to 50,472,742 and 109,802,834

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Solution

The third proportional to 50,472,742 and 109,802,834 is: 238,874,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,472,742 : 109,802,834 = 109,802,834 : x
  2. Step 2: Convert to fraction form
    50,472,742/109,802,834 = 109,802,834/x
  3. Step 3: Cross multiply
    50,472,742x = 109,802,834 × 109,802,834
  4. Step 4: Simplify right side
    50,472,742x = 12,056,662,354,431,556
  5. Step 5: Solve for x
    x = 12,056,662,354,431,556/50,472,742
  6. Step 6: Final answer
    x = 238,874,724.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.