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Finding the Third Proportional to 5,764,960 and 12,514,496

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Solution

The third proportional to 5,764,960 and 12,514,496 is: 27,166,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764,960 : 12,514,496 = 12,514,496 : x
  2. Step 2: Convert to fraction form
    5,764,960/12,514,496 = 12,514,496/x
  3. Step 3: Cross multiply
    5,764,960x = 12,514,496 × 12,514,496
  4. Step 4: Simplify right side
    5,764,960x = 156,612,610,134,016
  5. Step 5: Solve for x
    x = 156,612,610,134,016/5,764,960
  6. Step 6: Final answer
    x = 27,166,296.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.