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Finding the Third Proportional to 6,213,744 and 8,395,164

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Solution

The third proportional to 6,213,744 and 8,395,164 is: 11,342,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213,744 : 8,395,164 = 8,395,164 : x
  2. Step 2: Convert to fraction form
    6,213,744/8,395,164 = 8,395,164/x
  3. Step 3: Cross multiply
    6,213,744x = 8,395,164 × 8,395,164
  4. Step 4: Simplify right side
    6,213,744x = 70,478,778,586,896
  5. Step 5: Solve for x
    x = 70,478,778,586,896/6,213,744
  6. Step 6: Final answer
    x = 11,342,401.39

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.