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Finding the Third Proportional to 20,826,245,668 and 31,726,633,458

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Solution

The third proportional to 20,826,245,668 and 31,726,633,458 is: 48,332,248,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826,245,668 : 31,726,633,458 = 31,726,633,458 : x
  2. Step 2: Convert to fraction form
    20,826,245,668/31,726,633,458 = 31,726,633,458/x
  3. Step 3: Cross multiply
    20,826,245,668x = 31,726,633,458 × 31,726,633,458
  4. Step 4: Simplify right side
    20,826,245,668x = 1,006,579,270,578,285,051,904
  5. Step 5: Solve for x
    x = 1,006,579,270,578,285,051,904/20,826,245,668
  6. Step 6: Final answer
    x = 48,332,248,002.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.