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Finding the Third Proportional to 6,414,721.50 and 13,958,754

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Solution

The third proportional to 6,414,721.50 and 13,958,754 is: 30,374,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,721.50 : 13,958,754 = 13,958,754 : x
  2. Step 2: Convert to fraction form
    6,414,721.50/13,958,754 = 13,958,754/x
  3. Step 3: Cross multiply
    6,414,721.50x = 13,958,754 × 13,958,754
  4. Step 4: Simplify right side
    6,414,721.50x = 194,846,813,232,516
  5. Step 5: Solve for x
    x = 194,846,813,232,516/6,414,721.50
  6. Step 6: Final answer
    x = 30,374,945.07

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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.