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Finding the Third Proportional to 3,635,180 and 7,646,422

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Solution

The third proportional to 3,635,180 and 7,646,422 is: 16,083,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635,180 : 7,646,422 = 7,646,422 : x
  2. Step 2: Convert to fraction form
    3,635,180/7,646,422 = 7,646,422/x
  3. Step 3: Cross multiply
    3,635,180x = 7,646,422 × 7,646,422
  4. Step 4: Simplify right side
    3,635,180x = 58,467,769,402,084
  5. Step 5: Solve for x
    x = 58,467,769,402,084/3,635,180
  6. Step 6: Final answer
    x = 16,083,871.89

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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.