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Finding the Third Proportional to 2,647,152 and 5,612,157

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Solution

The third proportional to 2,647,152 and 5,612,157 is: 11,898,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647,152 : 5,612,157 = 5,612,157 : x
  2. Step 2: Convert to fraction form
    2,647,152/5,612,157 = 5,612,157/x
  3. Step 3: Cross multiply
    2,647,152x = 5,612,157 × 5,612,157
  4. Step 4: Simplify right side
    2,647,152x = 31,496,306,192,649
  5. Step 5: Solve for x
    x = 31,496,306,192,649/2,647,152
  6. Step 6: Final answer
    x = 11,898,185.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.