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Finding the Third Proportional to 3,922,965 and 8,465,213

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Solution

The third proportional to 3,922,965 and 8,465,213 is: 18,266,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922,965 : 8,465,213 = 8,465,213 : x
  2. Step 2: Convert to fraction form
    3,922,965/8,465,213 = 8,465,213/x
  3. Step 3: Cross multiply
    3,922,965x = 8,465,213 × 8,465,213
  4. Step 4: Simplify right side
    3,922,965x = 71,659,831,135,369
  5. Step 5: Solve for x
    x = 71,659,831,135,369/3,922,965
  6. Step 6: Final answer
    x = 18,266,752.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.