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Finding the Third Proportional to 13,964,825 and 21,796,077

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Solution

The third proportional to 13,964,825 and 21,796,077 is: 34,018,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964,825 : 21,796,077 = 21,796,077 : x
  2. Step 2: Convert to fraction form
    13,964,825/21,796,077 = 21,796,077/x
  3. Step 3: Cross multiply
    13,964,825x = 21,796,077 × 21,796,077
  4. Step 4: Simplify right side
    13,964,825x = 475,068,972,589,929
  5. Step 5: Solve for x
    x = 475,068,972,589,929/13,964,825
  6. Step 6: Final answer
    x = 34,018,970.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.