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Finding the Third Proportional to 3,638,365.91 and 7,383,647.07

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Solution

The third proportional to 3,638,365.91 and 7,383,647.07 is: 14,984,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,365.91 : 7,383,647.07 = 7,383,647.07 : x
  2. Step 2: Convert to fraction form
    3,638,365.91/7,383,647.07 = 7,383,647.07/x
  3. Step 3: Cross multiply
    3,638,365.91x = 7,383,647.07 × 7,383,647.07
  4. Step 4: Simplify right side
    3,638,365.91x = 54,518,244,116,622.79
  5. Step 5: Solve for x
    x = 54,518,244,116,622.79/3,638,365.91
  6. Step 6: Final answer
    x = 14,984,266.42

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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.