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Finding the Third Proportional to 6,593,764 and 13,896,008

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Solution

The third proportional to 6,593,764 and 13,896,008 is: 29,285,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,764 : 13,896,008 = 13,896,008 : x
  2. Step 2: Convert to fraction form
    6,593,764/13,896,008 = 13,896,008/x
  3. Step 3: Cross multiply
    6,593,764x = 13,896,008 × 13,896,008
  4. Step 4: Simplify right side
    6,593,764x = 193,099,038,336,064
  5. Step 5: Solve for x
    x = 193,099,038,336,064/6,593,764
  6. Step 6: Final answer
    x = 29,285,100.03

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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.