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Finding the Third Proportional to 20,826,245,666 and 31,726,633,469

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Solution

The third proportional to 20,826,245,666 and 31,726,633,469 is: 48,332,248,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826,245,666 : 31,726,633,469 = 31,726,633,469 : x
  2. Step 2: Convert to fraction form
    20,826,245,666/31,726,633,469 = 31,726,633,469/x
  3. Step 3: Cross multiply
    20,826,245,666x = 31,726,633,469 × 31,726,633,469
  4. Step 4: Simplify right side
    20,826,245,666x = 1,006,579,271,276,270,977,024
  5. Step 5: Solve for x
    x = 1,006,579,271,276,270,977,024/20,826,245,666
  6. Step 6: Final answer
    x = 48,332,248,040.25

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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.