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Finding the Third Proportional to 2,648,110 and 5,614,014

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Solution

The third proportional to 2,648,110 and 5,614,014 is: 11,901,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,110 : 5,614,014 = 5,614,014 : x
  2. Step 2: Convert to fraction form
    2,648,110/5,614,014 = 5,614,014/x
  3. Step 3: Cross multiply
    2,648,110x = 5,614,014 × 5,614,014
  4. Step 4: Simplify right side
    2,648,110x = 31,517,153,192,196
  5. Step 5: Solve for x
    x = 31,517,153,192,196/2,648,110
  6. Step 6: Final answer
    x = 11,901,753.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.