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Finding the Third Proportional to 947,161,200 and 1,997,973,264

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Solution

The third proportional to 947,161,200 and 1,997,973,264 is: 4,214,591,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,161,200 : 1,997,973,264 = 1,997,973,264 : x
  2. Step 2: Convert to fraction form
    947,161,200/1,997,973,264 = 1,997,973,264/x
  3. Step 3: Cross multiply
    947,161,200x = 1,997,973,264 × 1,997,973,264
  4. Step 4: Simplify right side
    947,161,200x = 3,991,897,163,658,813,440
  5. Step 5: Solve for x
    x = 3,991,897,163,658,813,440/947,161,200
  6. Step 6: Final answer
    x = 4,214,591,099.87

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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.