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Finding the Third Proportional to 2,992,012 and 6,491,288

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Solution

The third proportional to 2,992,012 and 6,491,288 is: 14,083,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992,012 : 6,491,288 = 6,491,288 : x
  2. Step 2: Convert to fraction form
    2,992,012/6,491,288 = 6,491,288/x
  3. Step 3: Cross multiply
    2,992,012x = 6,491,288 × 6,491,288
  4. Step 4: Simplify right side
    2,992,012x = 42,136,819,898,944
  5. Step 5: Solve for x
    x = 42,136,819,898,944/2,992,012
  6. Step 6: Final answer
    x = 14,083,105.25

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Why These Related Problems?

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