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Finding the Third Proportional to 3,250,164 and 6,920,231.25

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Solution

The third proportional to 3,250,164 and 6,920,231.25 is: 14,734,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250,164 : 6,920,231.25 = 6,920,231.25 : x
  2. Step 2: Convert to fraction form
    3,250,164/6,920,231.25 = 6,920,231.25/x
  3. Step 3: Cross multiply
    3,250,164x = 6,920,231.25 × 6,920,231.25
  4. Step 4: Simplify right side
    3,250,164x = 47,889,600,553,476.56
  5. Step 5: Solve for x
    x = 47,889,600,553,476.56/3,250,164
  6. Step 6: Final answer
    x = 14,734,518.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.