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Finding the Third Proportional to 7,562,847 and 11,434,311

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Solution

The third proportional to 7,562,847 and 11,434,311 is: 17,287,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562,847 : 11,434,311 = 11,434,311 : x
  2. Step 2: Convert to fraction form
    7,562,847/11,434,311 = 11,434,311/x
  3. Step 3: Cross multiply
    7,562,847x = 11,434,311 × 11,434,311
  4. Step 4: Simplify right side
    7,562,847x = 130,743,468,044,721
  5. Step 5: Solve for x
    x = 130,743,468,044,721/7,562,847
  6. Step 6: Final answer
    x = 17,287,599.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.