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Finding the Third Proportional to 2,836,214.50 and 6,071,102

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Solution

The third proportional to 2,836,214.50 and 6,071,102 is: 12,995,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836,214.50 : 6,071,102 = 6,071,102 : x
  2. Step 2: Convert to fraction form
    2,836,214.50/6,071,102 = 6,071,102/x
  3. Step 3: Cross multiply
    2,836,214.50x = 6,071,102 × 6,071,102
  4. Step 4: Simplify right side
    2,836,214.50x = 36,858,279,494,404
  5. Step 5: Solve for x
    x = 36,858,279,494,404/2,836,214.50
  6. Step 6: Final answer
    x = 12,995,589.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.