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Finding the Third Proportional to 2,433,450 and 5,633,280

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Solution

The third proportional to 2,433,450 and 5,633,280 is: 13,040,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,450 : 5,633,280 = 5,633,280 : x
  2. Step 2: Convert to fraction form
    2,433,450/5,633,280 = 5,633,280/x
  3. Step 3: Cross multiply
    2,433,450x = 5,633,280 × 5,633,280
  4. Step 4: Simplify right side
    2,433,450x = 31,733,843,558,400
  5. Step 5: Solve for x
    x = 31,733,843,558,400/2,433,450
  6. Step 6: Final answer
    x = 13,040,680.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.