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Finding the Third Proportional to 6,441,069 and 13,890,967

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Solution

The third proportional to 6,441,069 and 13,890,967 is: 29,957,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,069 : 13,890,967 = 13,890,967 : x
  2. Step 2: Convert to fraction form
    6,441,069/13,890,967 = 13,890,967/x
  3. Step 3: Cross multiply
    6,441,069x = 13,890,967 × 13,890,967
  4. Step 4: Simplify right side
    6,441,069x = 192,958,964,195,089
  5. Step 5: Solve for x
    x = 192,958,964,195,089/6,441,069
  6. Step 6: Final answer
    x = 29,957,599.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.