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Finding the Third Proportional to 947,161,216 and 1,997,973,296

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Solution

The third proportional to 947,161,216 and 1,997,973,296 is: 4,214,591,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,161,216 : 1,997,973,296 = 1,997,973,296 : x
  2. Step 2: Convert to fraction form
    947,161,216/1,997,973,296 = 1,997,973,296/x
  3. Step 3: Cross multiply
    947,161,216x = 1,997,973,296 × 1,997,973,296
  4. Step 4: Simplify right side
    947,161,216x = 3,991,897,291,529,103,360
  5. Step 5: Solve for x
    x = 3,991,897,291,529,103,360/947,161,216
  6. Step 6: Final answer
    x = 4,214,591,163.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.