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Finding the Third Proportional to 6,593,769 and 13,896,017

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Solution

The third proportional to 6,593,769 and 13,896,017 is: 29,285,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,769 : 13,896,017 = 13,896,017 : x
  2. Step 2: Convert to fraction form
    6,593,769/13,896,017 = 13,896,017/x
  3. Step 3: Cross multiply
    6,593,769x = 13,896,017 × 13,896,017
  4. Step 4: Simplify right side
    6,593,769x = 193,099,288,464,289
  5. Step 5: Solve for x
    x = 193,099,288,464,289/6,593,769
  6. Step 6: Final answer
    x = 29,285,115.76

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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.