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Finding the Third Proportional to 49,814,823 and 109,436,640

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Solution

The third proportional to 49,814,823 and 109,436,640 is: 240,417,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814,823 : 109,436,640 = 109,436,640 : x
  2. Step 2: Convert to fraction form
    49,814,823/109,436,640 = 109,436,640/x
  3. Step 3: Cross multiply
    49,814,823x = 109,436,640 × 109,436,640
  4. Step 4: Simplify right side
    49,814,823x = 11,976,378,174,489,600
  5. Step 5: Solve for x
    x = 11,976,378,174,489,600/49,814,823
  6. Step 6: Final answer
    x = 240,417,961.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.