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Finding the Third Proportional to 5,893,690 and 12,883,016

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Solution

The third proportional to 5,893,690 and 12,883,016 is: 28,160,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893,690 : 12,883,016 = 12,883,016 : x
  2. Step 2: Convert to fraction form
    5,893,690/12,883,016 = 12,883,016/x
  3. Step 3: Cross multiply
    5,893,690x = 12,883,016 × 12,883,016
  4. Step 4: Simplify right side
    5,893,690x = 165,972,101,256,256
  5. Step 5: Solve for x
    x = 165,972,101,256,256/5,893,690
  6. Step 6: Final answer
    x = 28,160,982.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.