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Finding the Third Proportional to 4,099,486.50 and 8,971,226.44

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Solution

The third proportional to 4,099,486.50 and 8,971,226.44 is: 19,632,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,486.50 : 8,971,226.44 = 8,971,226.44 : x
  2. Step 2: Convert to fraction form
    4,099,486.50/8,971,226.44 = 8,971,226.44/x
  3. Step 3: Cross multiply
    4,099,486.50x = 8,971,226.44 × 8,971,226.44
  4. Step 4: Simplify right side
    4,099,486.50x = 80,482,903,792,898.94
  5. Step 5: Solve for x
    x = 80,482,903,792,898.94/4,099,486.50
  6. Step 6: Final answer
    x = 19,632,435.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.