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Finding the Third Proportional to 6,593,764.50 and 13,896,009

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Solution

The third proportional to 6,593,764.50 and 13,896,009 is: 29,285,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,764.50 : 13,896,009 = 13,896,009 : x
  2. Step 2: Convert to fraction form
    6,593,764.50/13,896,009 = 13,896,009/x
  3. Step 3: Cross multiply
    6,593,764.50x = 13,896,009 × 13,896,009
  4. Step 4: Simplify right side
    6,593,764.50x = 193,099,066,128,081
  5. Step 5: Solve for x
    x = 193,099,066,128,081/6,593,764.50
  6. Step 6: Final answer
    x = 29,285,102.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.