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Finding the Third Proportional to 2,734,917,192 and 5,566,488,080

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Solution

The third proportional to 2,734,917,192 and 5,566,488,080 is: 11,329,699,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,917,192 : 5,566,488,080 = 5,566,488,080 : x
  2. Step 2: Convert to fraction form
    2,734,917,192/5,566,488,080 = 5,566,488,080/x
  3. Step 3: Cross multiply
    2,734,917,192x = 5,566,488,080 × 5,566,488,080
  4. Step 4: Simplify right side
    2,734,917,192x = 30,985,789,544,782,086,144
  5. Step 5: Solve for x
    x = 30,985,789,544,782,086,144/2,734,917,192
  6. Step 6: Final answer
    x = 11,329,699,354.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.