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Finding the Third Proportional to 2,665,424 and 5,756,395

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Solution

The third proportional to 2,665,424 and 5,756,395 is: 12,431,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,424 : 5,756,395 = 5,756,395 : x
  2. Step 2: Convert to fraction form
    2,665,424/5,756,395 = 5,756,395/x
  3. Step 3: Cross multiply
    2,665,424x = 5,756,395 × 5,756,395
  4. Step 4: Simplify right side
    2,665,424x = 33,136,083,396,025
  5. Step 5: Solve for x
    x = 33,136,083,396,025/2,665,424
  6. Step 6: Final answer
    x = 12,431,824.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.