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Finding the Third Proportional to 1,338,760,034 and 2,892,635,576

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Solution

The third proportional to 1,338,760,034 and 2,892,635,576 is: 6,250,067,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,760,034 : 2,892,635,576 = 2,892,635,576 : x
  2. Step 2: Convert to fraction form
    1,338,760,034/2,892,635,576 = 2,892,635,576/x
  3. Step 3: Cross multiply
    1,338,760,034x = 2,892,635,576 × 2,892,635,576
  4. Step 4: Simplify right side
    1,338,760,034x = 8,367,340,575,540,851,712
  5. Step 5: Solve for x
    x = 8,367,340,575,540,851,712/1,338,760,034
  6. Step 6: Final answer
    x = 6,250,067,497.56

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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.