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Finding the Third Proportional to 1,338,760,073 and 2,892,635,644

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Solution

The third proportional to 1,338,760,073 and 2,892,635,644 is: 6,250,067,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,760,073 : 2,892,635,644 = 2,892,635,644 : x
  2. Step 2: Convert to fraction form
    1,338,760,073/2,892,635,644 = 2,892,635,644/x
  3. Step 3: Cross multiply
    1,338,760,073x = 2,892,635,644 × 2,892,635,644
  4. Step 4: Simplify right side
    1,338,760,073x = 8,367,340,968,939,294,720
  5. Step 5: Solve for x
    x = 8,367,340,968,939,294,720/1,338,760,073
  6. Step 6: Final answer
    x = 6,250,067,609.34

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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.