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Finding the Third Proportional to 16,449,828 and 35,642,628

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Solution

The third proportional to 16,449,828 and 35,642,628 is: 77,228,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449,828 : 35,642,628 = 35,642,628 : x
  2. Step 2: Convert to fraction form
    16,449,828/35,642,628 = 35,642,628/x
  3. Step 3: Cross multiply
    16,449,828x = 35,642,628 × 35,642,628
  4. Step 4: Simplify right side
    16,449,828x = 1,270,396,930,746,384
  5. Step 5: Solve for x
    x = 1,270,396,930,746,384/16,449,828
  6. Step 6: Final answer
    x = 77,228,584.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.