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Finding the Third Proportional to 2,180,515,193 and 4,755,680,688

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Solution

The third proportional to 2,180,515,193 and 4,755,680,688 is: 10,372,089,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,515,193 : 4,755,680,688 = 4,755,680,688 : x
  2. Step 2: Convert to fraction form
    2,180,515,193/4,755,680,688 = 4,755,680,688/x
  3. Step 3: Cross multiply
    2,180,515,193x = 4,755,680,688 × 4,755,680,688
  4. Step 4: Simplify right side
    2,180,515,193x = 22,616,498,806,216,155,136
  5. Step 5: Solve for x
    x = 22,616,498,806,216,155,136/2,180,515,193
  6. Step 6: Final answer
    x = 10,372,089,531.33

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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.