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Finding the Third Proportional to 47,209,726 and 101,593,922

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Solution

The third proportional to 47,209,726 and 101,593,922 is: 218,627,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,209,726 : 101,593,922 = 101,593,922 : x
  2. Step 2: Convert to fraction form
    47,209,726/101,593,922 = 101,593,922/x
  3. Step 3: Cross multiply
    47,209,726x = 101,593,922 × 101,593,922
  4. Step 4: Simplify right side
    47,209,726x = 10,321,324,987,342,084
  5. Step 5: Solve for x
    x = 10,321,324,987,342,084/47,209,726
  6. Step 6: Final answer
    x = 218,627,089.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.