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Finding the Third Proportional to 3,853,465 and 8,025,725.50

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Solution

The third proportional to 3,853,465 and 8,025,725.50 is: 16,715,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853,465 : 8,025,725.50 = 8,025,725.50 : x
  2. Step 2: Convert to fraction form
    3,853,465/8,025,725.50 = 8,025,725.50/x
  3. Step 3: Cross multiply
    3,853,465x = 8,025,725.50 × 8,025,725.50
  4. Step 4: Simplify right side
    3,853,465x = 64,412,269,801,350.25
  5. Step 5: Solve for x
    x = 64,412,269,801,350.25/3,853,465
  6. Step 6: Final answer
    x = 16,715,415.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.