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Finding the Third Proportional to 2,180,515,188 and 4,755,680,678

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Solution

The third proportional to 2,180,515,188 and 4,755,680,678 is: 10,372,089,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,515,188 : 4,755,680,678 = 4,755,680,678 : x
  2. Step 2: Convert to fraction form
    2,180,515,188/4,755,680,678 = 4,755,680,678/x
  3. Step 3: Cross multiply
    2,180,515,188x = 4,755,680,678 × 4,755,680,678
  4. Step 4: Simplify right side
    2,180,515,188x = 22,616,498,711,102,537,728
  5. Step 5: Solve for x
    x = 22,616,498,711,102,537,728/2,180,515,188
  6. Step 6: Final answer
    x = 10,372,089,511.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.