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Finding the Third Proportional to 6,273,000 and 13,608,144

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Solution

The third proportional to 6,273,000 and 13,608,144 is: 29,520,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273,000 : 13,608,144 = 13,608,144 : x
  2. Step 2: Convert to fraction form
    6,273,000/13,608,144 = 13,608,144/x
  3. Step 3: Cross multiply
    6,273,000x = 13,608,144 × 13,608,144
  4. Step 4: Simplify right side
    6,273,000x = 185,181,583,124,736
  5. Step 5: Solve for x
    x = 185,181,583,124,736/6,273,000
  6. Step 6: Final answer
    x = 29,520,418.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.