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Finding the Third Proportional to 6,195,936 and 13,494,216

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Solution

The third proportional to 6,195,936 and 13,494,216 is: 29,389,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,936 : 13,494,216 = 13,494,216 : x
  2. Step 2: Convert to fraction form
    6,195,936/13,494,216 = 13,494,216/x
  3. Step 3: Cross multiply
    6,195,936x = 13,494,216 × 13,494,216
  4. Step 4: Simplify right side
    6,195,936x = 182,093,865,454,656
  5. Step 5: Solve for x
    x = 182,093,865,454,656/6,195,936
  6. Step 6: Final answer
    x = 29,389,242.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.