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Finding the Third Proportional to 2,314,016 and 5,026,054

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Solution

The third proportional to 2,314,016 and 5,026,054 is: 10,916,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,016 : 5,026,054 = 5,026,054 : x
  2. Step 2: Convert to fraction form
    2,314,016/5,026,054 = 5,026,054/x
  3. Step 3: Cross multiply
    2,314,016x = 5,026,054 × 5,026,054
  4. Step 4: Simplify right side
    2,314,016x = 25,261,218,810,916
  5. Step 5: Solve for x
    x = 25,261,218,810,916/2,314,016
  6. Step 6: Final answer
    x = 10,916,613.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.