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Finding the Third Proportional to 20,711,833 and 31,067,751

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Solution

The third proportional to 20,711,833 and 31,067,751 is: 46,601,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711,833 : 31,067,751 = 31,067,751 : x
  2. Step 2: Convert to fraction form
    20,711,833/31,067,751 = 31,067,751/x
  3. Step 3: Cross multiply
    20,711,833x = 31,067,751 × 31,067,751
  4. Step 4: Simplify right side
    20,711,833x = 965,205,152,198,001
  5. Step 5: Solve for x
    x = 965,205,152,198,001/20,711,833
  6. Step 6: Final answer
    x = 46,601,628.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.