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Finding the Third Proportional to 1,338,760,071 and 2,892,635,640

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Solution

The third proportional to 1,338,760,071 and 2,892,635,640 is: 6,250,067,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,760,071 : 2,892,635,640 = 2,892,635,640 : x
  2. Step 2: Convert to fraction form
    1,338,760,071/2,892,635,640 = 2,892,635,640/x
  3. Step 3: Cross multiply
    1,338,760,071x = 2,892,635,640 × 2,892,635,640
  4. Step 4: Simplify right side
    1,338,760,071x = 8,367,340,945,798,209,536
  5. Step 5: Solve for x
    x = 8,367,340,945,798,209,536/1,338,760,071
  6. Step 6: Final answer
    x = 6,250,067,601.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.