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Finding the Third Proportional to 4,575,119 and 6,099,441.50

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Solution

The third proportional to 4,575,119 and 6,099,441.50 is: 8,131,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575,119 : 6,099,441.50 = 6,099,441.50 : x
  2. Step 2: Convert to fraction form
    4,575,119/6,099,441.50 = 6,099,441.50/x
  3. Step 3: Cross multiply
    4,575,119x = 6,099,441.50 × 6,099,441.50
  4. Step 4: Simplify right side
    4,575,119x = 37,203,186,611,922.25
  5. Step 5: Solve for x
    x = 37,203,186,611,922.25/4,575,119
  6. Step 6: Final answer
    x = 8,131,632.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.