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Finding the Third Proportional to 3,185,514 and 6,878,170

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Solution

The third proportional to 3,185,514 and 6,878,170 is: 14,851,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,514 : 6,878,170 = 6,878,170 : x
  2. Step 2: Convert to fraction form
    3,185,514/6,878,170 = 6,878,170/x
  3. Step 3: Cross multiply
    3,185,514x = 6,878,170 × 6,878,170
  4. Step 4: Simplify right side
    3,185,514x = 47,309,222,548,900
  5. Step 5: Solve for x
    x = 47,309,222,548,900/3,185,514
  6. Step 6: Final answer
    x = 14,851,362.31

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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.