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Finding the Third Proportional to 6,571,872.75 and 14,115,241.50

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Solution

The third proportional to 6,571,872.75 and 14,115,241.50 is: 30,317,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571,872.75 : 14,115,241.50 = 14,115,241.50 : x
  2. Step 2: Convert to fraction form
    6,571,872.75/14,115,241.50 = 14,115,241.50/x
  3. Step 3: Cross multiply
    6,571,872.75x = 14,115,241.50 × 14,115,241.50
  4. Step 4: Simplify right side
    6,571,872.75x = 199,240,042,603,322.25
  5. Step 5: Solve for x
    x = 199,240,042,603,322.25/6,571,872.75
  6. Step 6: Final answer
    x = 30,317,087.71

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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.