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Finding the Third Proportional to 5,200,686 and 8,084,184.75

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Solution

The third proportional to 5,200,686 and 8,084,184.75 is: 12,566,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,686 : 8,084,184.75 = 8,084,184.75 : x
  2. Step 2: Convert to fraction form
    5,200,686/8,084,184.75 = 8,084,184.75/x
  3. Step 3: Cross multiply
    5,200,686x = 8,084,184.75 × 8,084,184.75
  4. Step 4: Simplify right side
    5,200,686x = 65,354,043,072,132.56
  5. Step 5: Solve for x
    x = 65,354,043,072,132.56/5,200,686
  6. Step 6: Final answer
    x = 12,566,427.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.