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Finding the Third Proportional to 6,728,856 and 14,593,494

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Solution

The third proportional to 6,728,856 and 14,593,494 is: 31,650,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728,856 : 14,593,494 = 14,593,494 : x
  2. Step 2: Convert to fraction form
    6,728,856/14,593,494 = 14,593,494/x
  3. Step 3: Cross multiply
    6,728,856x = 14,593,494 × 14,593,494
  4. Step 4: Simplify right side
    6,728,856x = 212,970,067,128,036
  5. Step 5: Solve for x
    x = 212,970,067,128,036/6,728,856
  6. Step 6: Final answer
    x = 31,650,263.75

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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.