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Finding the Third Proportional to 6,729,858 and 14,677,775

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Solution

The third proportional to 6,729,858 and 14,677,775 is: 32,012,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,858 : 14,677,775 = 14,677,775 : x
  2. Step 2: Convert to fraction form
    6,729,858/14,677,775 = 14,677,775/x
  3. Step 3: Cross multiply
    6,729,858x = 14,677,775 × 14,677,775
  4. Step 4: Simplify right side
    6,729,858x = 215,437,078,950,625
  5. Step 5: Solve for x
    x = 215,437,078,950,625/6,729,858
  6. Step 6: Final answer
    x = 32,012,128.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.