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Finding the Third Proportional to 3,082,970 and 6,498,310

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Solution

The third proportional to 3,082,970 and 6,498,310 is: 13,697,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082,970 : 6,498,310 = 6,498,310 : x
  2. Step 2: Convert to fraction form
    3,082,970/6,498,310 = 6,498,310/x
  3. Step 3: Cross multiply
    3,082,970x = 6,498,310 × 6,498,310
  4. Step 4: Simplify right side
    3,082,970x = 42,228,032,856,100
  5. Step 5: Solve for x
    x = 42,228,032,856,100/3,082,970
  6. Step 6: Final answer
    x = 13,697,192.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.