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Finding the Third Proportional to 6,633,016 and 14,280,800

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Solution

The third proportional to 6,633,016 and 14,280,800 is: 30,746,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633,016 : 14,280,800 = 14,280,800 : x
  2. Step 2: Convert to fraction form
    6,633,016/14,280,800 = 14,280,800/x
  3. Step 3: Cross multiply
    6,633,016x = 14,280,800 × 14,280,800
  4. Step 4: Simplify right side
    6,633,016x = 203,941,248,640,000
  5. Step 5: Solve for x
    x = 203,941,248,640,000/6,633,016
  6. Step 6: Final answer
    x = 30,746,382.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.