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Finding the Third Proportional to 6,964,992 and 14,635,008

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Solution

The third proportional to 6,964,992 and 14,635,008 is: 30,751,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964,992 : 14,635,008 = 14,635,008 : x
  2. Step 2: Convert to fraction form
    6,964,992/14,635,008 = 14,635,008/x
  3. Step 3: Cross multiply
    6,964,992x = 14,635,008 × 14,635,008
  4. Step 4: Simplify right side
    6,964,992x = 214,183,459,160,064
  5. Step 5: Solve for x
    x = 214,183,459,160,064/6,964,992
  6. Step 6: Final answer
    x = 30,751,429.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.