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Finding the Third Proportional to 4,741,508 and 10,241,216

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Solution

The third proportional to 4,741,508 and 10,241,216 is: 22,120,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741,508 : 10,241,216 = 10,241,216 : x
  2. Step 2: Convert to fraction form
    4,741,508/10,241,216 = 10,241,216/x
  3. Step 3: Cross multiply
    4,741,508x = 10,241,216 × 10,241,216
  4. Step 4: Simplify right side
    4,741,508x = 104,882,505,158,656
  5. Step 5: Solve for x
    x = 104,882,505,158,656/4,741,508
  6. Step 6: Final answer
    x = 22,120,073.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.