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Finding the Third Proportional to 4,886,723 and 10,422,427

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Solution

The third proportional to 4,886,723 and 10,422,427 is: 22,229,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886,723 : 10,422,427 = 10,422,427 : x
  2. Step 2: Convert to fraction form
    4,886,723/10,422,427 = 10,422,427/x
  3. Step 3: Cross multiply
    4,886,723x = 10,422,427 × 10,422,427
  4. Step 4: Simplify right side
    4,886,723x = 108,626,984,570,329
  5. Step 5: Solve for x
    x = 108,626,984,570,329/4,886,723
  6. Step 6: Final answer
    x = 22,229,003.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.