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Finding the Third Proportional to 3,477,978 and 7,418,184

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Solution

The third proportional to 3,477,978 and 7,418,184 is: 15,822,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477,978 : 7,418,184 = 7,418,184 : x
  2. Step 2: Convert to fraction form
    3,477,978/7,418,184 = 7,418,184/x
  3. Step 3: Cross multiply
    3,477,978x = 7,418,184 × 7,418,184
  4. Step 4: Simplify right side
    3,477,978x = 55,029,453,857,856
  5. Step 5: Solve for x
    x = 55,029,453,857,856/3,477,978
  6. Step 6: Final answer
    x = 15,822,254.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.