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Finding the Third Proportional to 20,711,834 and 31,067,754

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Solution

The third proportional to 20,711,834 and 31,067,754 is: 46,601,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711,834 : 31,067,754 = 31,067,754 : x
  2. Step 2: Convert to fraction form
    20,711,834/31,067,754 = 31,067,754/x
  3. Step 3: Cross multiply
    20,711,834x = 31,067,754 × 31,067,754
  4. Step 4: Simplify right side
    20,711,834x = 965,205,338,604,516
  5. Step 5: Solve for x
    x = 965,205,338,604,516/20,711,834
  6. Step 6: Final answer
    x = 46,601,635.50

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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.