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Finding the Third Proportional to 3,638,383.50 and 7,383,679.50

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Solution

The third proportional to 3,638,383.50 and 7,383,679.50 is: 14,984,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,383.50 : 7,383,679.50 = 7,383,679.50 : x
  2. Step 2: Convert to fraction form
    3,638,383.50/7,383,679.50 = 7,383,679.50/x
  3. Step 3: Cross multiply
    3,638,383.50x = 7,383,679.50 × 7,383,679.50
  4. Step 4: Simplify right side
    3,638,383.50x = 54,518,722,958,720.25
  5. Step 5: Solve for x
    x = 54,518,722,958,720.25/3,638,383.50
  6. Step 6: Final answer
    x = 14,984,325.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.