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Finding the Third Proportional to 3,635,163 and 7,646,381

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Solution

The third proportional to 3,635,163 and 7,646,381 is: 16,083,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635,163 : 7,646,381 = 7,646,381 : x
  2. Step 2: Convert to fraction form
    3,635,163/7,646,381 = 7,646,381/x
  3. Step 3: Cross multiply
    3,635,163x = 7,646,381 × 7,646,381
  4. Step 4: Simplify right side
    3,635,163x = 58,467,142,397,161
  5. Step 5: Solve for x
    x = 58,467,142,397,161/3,635,163
  6. Step 6: Final answer
    x = 16,083,774.62

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