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Finding the Third Proportional to 4,263,867 and 8,699,013

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Solution

The third proportional to 4,263,867 and 8,699,013 is: 17,747,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263,867 : 8,699,013 = 8,699,013 : x
  2. Step 2: Convert to fraction form
    4,263,867/8,699,013 = 8,699,013/x
  3. Step 3: Cross multiply
    4,263,867x = 8,699,013 × 8,699,013
  4. Step 4: Simplify right side
    4,263,867x = 75,672,827,174,169
  5. Step 5: Solve for x
    x = 75,672,827,174,169/4,263,867
  6. Step 6: Final answer
    x = 17,747,464.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.