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Finding the Third Proportional to 5,675,655 and 13,324,509

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Solution

The third proportional to 5,675,655 and 13,324,509 is: 31,281,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,655 : 13,324,509 = 13,324,509 : x
  2. Step 2: Convert to fraction form
    5,675,655/13,324,509 = 13,324,509/x
  3. Step 3: Cross multiply
    5,675,655x = 13,324,509 × 13,324,509
  4. Step 4: Simplify right side
    5,675,655x = 177,542,540,091,081
  5. Step 5: Solve for x
    x = 177,542,540,091,081/5,675,655
  6. Step 6: Final answer
    x = 31,281,418.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.