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Finding the Third Proportional to 5,407,519.50 and 11,582,649

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Solution

The third proportional to 5,407,519.50 and 11,582,649 is: 24,809,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407,519.50 : 11,582,649 = 11,582,649 : x
  2. Step 2: Convert to fraction form
    5,407,519.50/11,582,649 = 11,582,649/x
  3. Step 3: Cross multiply
    5,407,519.50x = 11,582,649 × 11,582,649
  4. Step 4: Simplify right side
    5,407,519.50x = 134,157,757,857,201
  5. Step 5: Solve for x
    x = 134,157,757,857,201/5,407,519.50
  6. Step 6: Final answer
    x = 24,809,482.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.