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Finding the Third Proportional to 7,228,917 and 15,203,322

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Solution

The third proportional to 7,228,917 and 15,203,322 is: 31,974,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228,917 : 15,203,322 = 15,203,322 : x
  2. Step 2: Convert to fraction form
    7,228,917/15,203,322 = 15,203,322/x
  3. Step 3: Cross multiply
    7,228,917x = 15,203,322 × 15,203,322
  4. Step 4: Simplify right side
    7,228,917x = 231,140,999,835,684
  5. Step 5: Solve for x
    x = 231,140,999,835,684/7,228,917
  6. Step 6: Final answer
    x = 31,974,499.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.