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Finding the Third Proportional to 3,638,369 and 7,383,653

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Solution

The third proportional to 3,638,369 and 7,383,653 is: 14,984,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,369 : 7,383,653 = 7,383,653 : x
  2. Step 2: Convert to fraction form
    3,638,369/7,383,653 = 7,383,653/x
  3. Step 3: Cross multiply
    3,638,369x = 7,383,653 × 7,383,653
  4. Step 4: Simplify right side
    3,638,369x = 54,518,331,624,409
  5. Step 5: Solve for x
    x = 54,518,331,624,409/3,638,369
  6. Step 6: Final answer
    x = 14,984,277.74

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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.