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Finding the Third Proportional to 552,627,109.41 and 1,198,496,447.44

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Solution

The third proportional to 552,627,109.41 and 1,198,496,447.44 is: 2,599,209,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,627,109.41 : 1,198,496,447.44 = 1,198,496,447.44 : x
  2. Step 2: Convert to fraction form
    552,627,109.41/1,198,496,447.44 = 1,198,496,447.44/x
  3. Step 3: Cross multiply
    552,627,109.41x = 1,198,496,447.44 × 1,198,496,447.44
  4. Step 4: Simplify right side
    552,627,109.41x = 1,436,393,734,520,308,224
  5. Step 5: Solve for x
    x = 1,436,393,734,520,308,224/552,627,109.41
  6. Step 6: Final answer
    x = 2,599,209,684.20

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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.