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Finding the Third Proportional to 5,471,816,721 and 11,095,893,171

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Solution

The third proportional to 5,471,816,721 and 11,095,893,171 is: 22,500,542,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471,816,721 : 11,095,893,171 = 11,095,893,171 : x
  2. Step 2: Convert to fraction form
    5,471,816,721/11,095,893,171 = 11,095,893,171/x
  3. Step 3: Cross multiply
    5,471,816,721x = 11,095,893,171 × 11,095,893,171
  4. Step 4: Simplify right side
    5,471,816,721x = 123,118,845,262,244,429,824
  5. Step 5: Solve for x
    x = 123,118,845,262,244,429,824/5,471,816,721
  6. Step 6: Final answer
    x = 22,500,542,605.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.