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Finding the Third Proportional to 6,129,265,614.75 and 8,764,860,267

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Solution

The third proportional to 6,129,265,614.75 and 8,764,860,267 is: 12,533,765,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129,265,614.75 : 8,764,860,267 = 8,764,860,267 : x
  2. Step 2: Convert to fraction form
    6,129,265,614.75/8,764,860,267 = 8,764,860,267/x
  3. Step 3: Cross multiply
    6,129,265,614.75x = 8,764,860,267 × 8,764,860,267
  4. Step 4: Simplify right side
    6,129,265,614.75x = 76,822,775,500,035,309,568
  5. Step 5: Solve for x
    x = 76,822,775,500,035,309,568/6,129,265,614.75
  6. Step 6: Final answer
    x = 12,533,765,108.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.