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Finding the Third Proportional to 3,296,986 and 7,029,461

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Solution

The third proportional to 3,296,986 and 7,029,461 is: 14,987,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,986 : 7,029,461 = 7,029,461 : x
  2. Step 2: Convert to fraction form
    3,296,986/7,029,461 = 7,029,461/x
  3. Step 3: Cross multiply
    3,296,986x = 7,029,461 × 7,029,461
  4. Step 4: Simplify right side
    3,296,986x = 49,413,321,950,521
  5. Step 5: Solve for x
    x = 49,413,321,950,521/3,296,986
  6. Step 6: Final answer
    x = 14,987,422.44

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Why These Related Problems?

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