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Finding the Third Proportional to 4,680,213.75 and 7,190,633.25

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Solution

The third proportional to 4,680,213.75 and 7,190,633.25 is: 11,047,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680,213.75 : 7,190,633.25 = 7,190,633.25 : x
  2. Step 2: Convert to fraction form
    4,680,213.75/7,190,633.25 = 7,190,633.25/x
  3. Step 3: Cross multiply
    4,680,213.75x = 7,190,633.25 × 7,190,633.25
  4. Step 4: Simplify right side
    4,680,213.75x = 51,705,206,536,005.56
  5. Step 5: Solve for x
    x = 51,705,206,536,005.56/4,680,213.75
  6. Step 6: Final answer
    x = 11,047,616.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.