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Finding the Third Proportional to 411,083,193 and 970,114,611

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Solution

The third proportional to 411,083,193 and 970,114,611 is: 2,289,372,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,083,193 : 970,114,611 = 970,114,611 : x
  2. Step 2: Convert to fraction form
    411,083,193/970,114,611 = 970,114,611/x
  3. Step 3: Cross multiply
    411,083,193x = 970,114,611 × 970,114,611
  4. Step 4: Simplify right side
    411,083,193x = 941,122,358,475,681,280
  5. Step 5: Solve for x
    x = 941,122,358,475,681,280/411,083,193
  6. Step 6: Final answer
    x = 2,289,372,016.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.