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Finding the Third Proportional to 5,664,114 and 8,711,193

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Solution

The third proportional to 5,664,114 and 8,711,193 is: 13,397,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664,114 : 8,711,193 = 8,711,193 : x
  2. Step 2: Convert to fraction form
    5,664,114/8,711,193 = 8,711,193/x
  3. Step 3: Cross multiply
    5,664,114x = 8,711,193 × 8,711,193
  4. Step 4: Simplify right side
    5,664,114x = 75,884,883,483,249
  5. Step 5: Solve for x
    x = 75,884,883,483,249/5,664,114
  6. Step 6: Final answer
    x = 13,397,485.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.