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Finding the Third Proportional to 3,536,089,029 and 5,893,126,542

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Solution

The third proportional to 3,536,089,029 and 5,893,126,542 is: 9,821,285,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536,089,029 : 5,893,126,542 = 5,893,126,542 : x
  2. Step 2: Convert to fraction form
    3,536,089,029/5,893,126,542 = 5,893,126,542/x
  3. Step 3: Cross multiply
    3,536,089,029x = 5,893,126,542 × 5,893,126,542
  4. Step 4: Simplify right side
    3,536,089,029x = 34,728,940,440,024,879,104
  5. Step 5: Solve for x
    x = 34,728,940,440,024,879,104/3,536,089,029
  6. Step 6: Final answer
    x = 9,821,285,650.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.