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Finding the Third Proportional to 5,201,181 and 6,901,416

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Solution

The third proportional to 5,201,181 and 6,901,416 is: 9,157,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201,181 : 6,901,416 = 6,901,416 : x
  2. Step 2: Convert to fraction form
    5,201,181/6,901,416 = 6,901,416/x
  3. Step 3: Cross multiply
    5,201,181x = 6,901,416 × 6,901,416
  4. Step 4: Simplify right side
    5,201,181x = 47,629,542,805,056
  5. Step 5: Solve for x
    x = 47,629,542,805,056/5,201,181
  6. Step 6: Final answer
    x = 9,157,447.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.