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Finding the Third Proportional to 4,961,766 and 10,641,450

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Solution

The third proportional to 4,961,766 and 10,641,450 is: 22,822,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961,766 : 10,641,450 = 10,641,450 : x
  2. Step 2: Convert to fraction form
    4,961,766/10,641,450 = 10,641,450/x
  3. Step 3: Cross multiply
    4,961,766x = 10,641,450 × 10,641,450
  4. Step 4: Simplify right side
    4,961,766x = 113,240,458,102,500
  5. Step 5: Solve for x
    x = 113,240,458,102,500/4,961,766
  6. Step 6: Final answer
    x = 22,822,611.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.