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Finding the Third Proportional to 49,814,835 and 109,436,664

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Solution

The third proportional to 49,814,835 and 109,436,664 is: 240,418,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814,835 : 109,436,664 = 109,436,664 : x
  2. Step 2: Convert to fraction form
    49,814,835/109,436,664 = 109,436,664/x
  3. Step 3: Cross multiply
    49,814,835x = 109,436,664 × 109,436,664
  4. Step 4: Simplify right side
    49,814,835x = 11,976,383,427,448,896
  5. Step 5: Solve for x
    x = 11,976,383,427,448,896/49,814,835
  6. Step 6: Final answer
    x = 240,418,008.56

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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.