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Finding the Third Proportional to 49,814,829 and 109,436,652

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Solution

The third proportional to 49,814,829 and 109,436,652 is: 240,417,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814,829 : 109,436,652 = 109,436,652 : x
  2. Step 2: Convert to fraction form
    49,814,829/109,436,652 = 109,436,652/x
  3. Step 3: Cross multiply
    49,814,829x = 109,436,652 × 109,436,652
  4. Step 4: Simplify right side
    49,814,829x = 11,976,380,800,969,104
  5. Step 5: Solve for x
    x = 11,976,380,800,969,104/49,814,829
  6. Step 6: Final answer
    x = 240,417,984.79

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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.