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Finding the Third Proportional to 3,831,242 and 8,182,986

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Solution

The third proportional to 3,831,242 and 8,182,986 is: 17,477,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,242 : 8,182,986 = 8,182,986 : x
  2. Step 2: Convert to fraction form
    3,831,242/8,182,986 = 8,182,986/x
  3. Step 3: Cross multiply
    3,831,242x = 8,182,986 × 8,182,986
  4. Step 4: Simplify right side
    3,831,242x = 66,961,259,876,196
  5. Step 5: Solve for x
    x = 66,961,259,876,196/3,831,242
  6. Step 6: Final answer
    x = 17,477,689.97

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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.