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Finding the Third Proportional to 6,941,856 and 14,222,016

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Solution

The third proportional to 6,941,856 and 14,222,016 is: 29,137,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941,856 : 14,222,016 = 14,222,016 : x
  2. Step 2: Convert to fraction form
    6,941,856/14,222,016 = 14,222,016/x
  3. Step 3: Cross multiply
    6,941,856x = 14,222,016 × 14,222,016
  4. Step 4: Simplify right side
    6,941,856x = 202,265,739,104,256
  5. Step 5: Solve for x
    x = 202,265,739,104,256/6,941,856
  6. Step 6: Final answer
    x = 29,137,126.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.