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Finding the Third Proportional to 2,314,042 and 5,026,108

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Solution

The third proportional to 2,314,042 and 5,026,108 is: 10,916,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,042 : 5,026,108 = 5,026,108 : x
  2. Step 2: Convert to fraction form
    2,314,042/5,026,108 = 5,026,108/x
  3. Step 3: Cross multiply
    2,314,042x = 5,026,108 × 5,026,108
  4. Step 4: Simplify right side
    2,314,042x = 25,261,761,627,664
  5. Step 5: Solve for x
    x = 25,261,761,627,664/2,314,042
  6. Step 6: Final answer
    x = 10,916,725.64

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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.