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Finding the Third Proportional to 49,814,817 and 109,436,628

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Solution

The third proportional to 49,814,817 and 109,436,628 is: 240,417,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814,817 : 109,436,628 = 109,436,628 : x
  2. Step 2: Convert to fraction form
    49,814,817/109,436,628 = 109,436,628/x
  3. Step 3: Cross multiply
    49,814,817x = 109,436,628 × 109,436,628
  4. Step 4: Simplify right side
    49,814,817x = 11,976,375,548,010,384
  5. Step 5: Solve for x
    x = 11,976,375,548,010,384/49,814,817
  6. Step 6: Final answer
    x = 240,417,937.26

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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.