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Finding the Third Proportional to 2,652,843.75 and 5,684,227.50

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Solution

The third proportional to 2,652,843.75 and 5,684,227.50 is: 12,179,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,843.75 : 5,684,227.50 = 5,684,227.50 : x
  2. Step 2: Convert to fraction form
    2,652,843.75/5,684,227.50 = 5,684,227.50/x
  3. Step 3: Cross multiply
    2,652,843.75x = 5,684,227.50 × 5,684,227.50
  4. Step 4: Simplify right side
    2,652,843.75x = 32,310,442,271,756.25
  5. Step 5: Solve for x
    x = 32,310,442,271,756.25/2,652,843.75
  6. Step 6: Final answer
    x = 12,179,549.69

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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.