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Finding the Third Proportional to 3,477,980 and 7,418,188

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Solution

The third proportional to 3,477,980 and 7,418,188 is: 15,822,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477,980 : 7,418,188 = 7,418,188 : x
  2. Step 2: Convert to fraction form
    3,477,980/7,418,188 = 7,418,188/x
  3. Step 3: Cross multiply
    3,477,980x = 7,418,188 × 7,418,188
  4. Step 4: Simplify right side
    3,477,980x = 55,029,513,203,344
  5. Step 5: Solve for x
    x = 55,029,513,203,344/3,477,980
  6. Step 6: Final answer
    x = 15,822,262.69

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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.