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Finding the Third Proportional to 3,297,024 and 6,998,400

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Solution

The third proportional to 3,297,024 and 6,998,400 is: 14,855,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,024 : 6,998,400 = 6,998,400 : x
  2. Step 2: Convert to fraction form
    3,297,024/6,998,400 = 6,998,400/x
  3. Step 3: Cross multiply
    3,297,024x = 6,998,400 × 6,998,400
  4. Step 4: Simplify right side
    3,297,024x = 48,977,602,560,000
  5. Step 5: Solve for x
    x = 48,977,602,560,000/3,297,024
  6. Step 6: Final answer
    x = 14,855,094.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.