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Finding the Third Proportional to 5,759,640 and 12,374,027.25

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Solution

The third proportional to 5,759,640 and 12,374,027.25 is: 26,584,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759,640 : 12,374,027.25 = 12,374,027.25 : x
  2. Step 2: Convert to fraction form
    5,759,640/12,374,027.25 = 12,374,027.25/x
  3. Step 3: Cross multiply
    5,759,640x = 12,374,027.25 × 12,374,027.25
  4. Step 4: Simplify right side
    5,759,640x = 153,116,550,383,742.56
  5. Step 5: Solve for x
    x = 153,116,550,383,742.56/5,759,640
  6. Step 6: Final answer
    x = 26,584,395.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.