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Finding the Third Proportional to 10,165,610 and 22,321,876

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Solution

The third proportional to 10,165,610 and 22,321,876 is: 49,014,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165,610 : 22,321,876 = 22,321,876 : x
  2. Step 2: Convert to fraction form
    10,165,610/22,321,876 = 22,321,876/x
  3. Step 3: Cross multiply
    10,165,610x = 22,321,876 × 22,321,876
  4. Step 4: Simplify right side
    10,165,610x = 498,266,148,159,376
  5. Step 5: Solve for x
    x = 498,266,148,159,376/10,165,610
  6. Step 6: Final answer
    x = 49,014,879.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.