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Finding the Third Proportional to 2,253,222 and 5,010,223

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Solution

The third proportional to 2,253,222 and 5,010,223 is: 11,140,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253,222 : 5,010,223 = 5,010,223 : x
  2. Step 2: Convert to fraction form
    2,253,222/5,010,223 = 5,010,223/x
  3. Step 3: Cross multiply
    2,253,222x = 5,010,223 × 5,010,223
  4. Step 4: Simplify right side
    2,253,222x = 25,102,334,509,729
  5. Step 5: Solve for x
    x = 25,102,334,509,729/2,253,222
  6. Step 6: Final answer
    x = 11,140,639.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.