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Finding the Third Proportional to 46,469,448 and 100,998,720

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Solution

The third proportional to 46,469,448 and 100,998,720 is: 219,515,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469,448 : 100,998,720 = 100,998,720 : x
  2. Step 2: Convert to fraction form
    46,469,448/100,998,720 = 100,998,720/x
  3. Step 3: Cross multiply
    46,469,448x = 100,998,720 × 100,998,720
  4. Step 4: Simplify right side
    46,469,448x = 10,200,741,441,638,400
  5. Step 5: Solve for x
    x = 10,200,741,441,638,400/46,469,448
  6. Step 6: Final answer
    x = 219,515,012.14

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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.