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Finding the Third Proportional to 2,705,751 and 5,635,396.13

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Solution

The third proportional to 2,705,751 and 5,635,396.13 is: 11,737,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705,751 : 5,635,396.13 = 5,635,396.13 : x
  2. Step 2: Convert to fraction form
    2,705,751/5,635,396.13 = 5,635,396.13/x
  3. Step 3: Cross multiply
    2,705,751x = 5,635,396.13 × 5,635,396.13
  4. Step 4: Simplify right side
    2,705,751x = 31,757,689,485,665.02
  5. Step 5: Solve for x
    x = 31,757,689,485,665.02/2,705,751
  6. Step 6: Final answer
    x = 11,737,107.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.