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Finding the Third Proportional to 5,089,676 and 10,533,624

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Solution

The third proportional to 5,089,676 and 10,533,624 is: 21,800,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089,676 : 10,533,624 = 10,533,624 : x
  2. Step 2: Convert to fraction form
    5,089,676/10,533,624 = 10,533,624/x
  3. Step 3: Cross multiply
    5,089,676x = 10,533,624 × 10,533,624
  4. Step 4: Simplify right side
    5,089,676x = 110,957,234,573,376
  5. Step 5: Solve for x
    x = 110,957,234,573,376/5,089,676
  6. Step 6: Final answer
    x = 21,800,451.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.