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Finding the Third Proportional to 3,145,608 and 6,739,416

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Solution

The third proportional to 3,145,608 and 6,739,416 is: 14,439,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145,608 : 6,739,416 = 6,739,416 : x
  2. Step 2: Convert to fraction form
    3,145,608/6,739,416 = 6,739,416/x
  3. Step 3: Cross multiply
    3,145,608x = 6,739,416 × 6,739,416
  4. Step 4: Simplify right side
    3,145,608x = 45,419,728,021,056
  5. Step 5: Solve for x
    x = 45,419,728,021,056/3,145,608
  6. Step 6: Final answer
    x = 14,439,093.50

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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.