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Finding the Third Proportional to 6,235,464 and 13,399,172

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Solution

The third proportional to 6,235,464 and 13,399,172 is: 28,793,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235,464 : 13,399,172 = 13,399,172 : x
  2. Step 2: Convert to fraction form
    6,235,464/13,399,172 = 13,399,172/x
  3. Step 3: Cross multiply
    6,235,464x = 13,399,172 × 13,399,172
  4. Step 4: Simplify right side
    6,235,464x = 179,537,810,285,584
  5. Step 5: Solve for x
    x = 179,537,810,285,584/6,235,464
  6. Step 6: Final answer
    x = 28,793,015.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.