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Finding the Third Proportional to 5,471,816,718 and 11,095,893,165

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Solution

The third proportional to 5,471,816,718 and 11,095,893,165 is: 22,500,542,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471,816,718 : 11,095,893,165 = 11,095,893,165 : x
  2. Step 2: Convert to fraction form
    5,471,816,718/11,095,893,165 = 11,095,893,165/x
  3. Step 3: Cross multiply
    5,471,816,718x = 11,095,893,165 × 11,095,893,165
  4. Step 4: Simplify right side
    5,471,816,718x = 123,118,845,129,093,709,824
  5. Step 5: Solve for x
    x = 123,118,845,129,093,709,824/5,471,816,718
  6. Step 6: Final answer
    x = 22,500,542,593.85

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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.