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Finding the Third Proportional to 3,086,982 and 6,616,956

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Solution

The third proportional to 3,086,982 and 6,616,956 is: 14,183,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,982 : 6,616,956 = 6,616,956 : x
  2. Step 2: Convert to fraction form
    3,086,982/6,616,956 = 6,616,956/x
  3. Step 3: Cross multiply
    3,086,982x = 6,616,956 × 6,616,956
  4. Step 4: Simplify right side
    3,086,982x = 43,784,106,705,936
  5. Step 5: Solve for x
    x = 43,784,106,705,936/3,086,982
  6. Step 6: Final answer
    x = 14,183,466.80

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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.