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Finding the Third Proportional to 552,627,120 and 1,198,496,468

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Solution

The third proportional to 552,627,120 and 1,198,496,468 is: 2,599,209,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,627,120 : 1,198,496,468 = 1,198,496,468 : x
  2. Step 2: Convert to fraction form
    552,627,120/1,198,496,468 = 1,198,496,468/x
  3. Step 3: Cross multiply
    552,627,120x = 1,198,496,468 × 1,198,496,468
  4. Step 4: Simplify right side
    552,627,120x = 1,436,393,783,808,475,136
  5. Step 5: Solve for x
    x = 1,436,393,783,808,475,136/552,627,120
  6. Step 6: Final answer
    x = 2,599,209,723.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.