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Finding the Third Proportional to 2,751,018,473 and 6,042,481,987

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Solution

The third proportional to 2,751,018,473 and 6,042,481,987 is: 13,272,025,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751,018,473 : 6,042,481,987 = 6,042,481,987 : x
  2. Step 2: Convert to fraction form
    2,751,018,473/6,042,481,987 = 6,042,481,987/x
  3. Step 3: Cross multiply
    2,751,018,473x = 6,042,481,987 × 6,042,481,987
  4. Step 4: Simplify right side
    2,751,018,473x = 36,511,588,563,219,468,288
  5. Step 5: Solve for x
    x = 36,511,588,563,219,468,288/2,751,018,473
  6. Step 6: Final answer
    x = 13,272,025,950.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.