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Finding the Third Proportional to 5,188,651,884 and 11,415,023,064

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Solution

The third proportional to 5,188,651,884 and 11,415,023,064 is: 25,113,026,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188,651,884 : 11,415,023,064 = 11,415,023,064 : x
  2. Step 2: Convert to fraction form
    5,188,651,884/11,415,023,064 = 11,415,023,064/x
  3. Step 3: Cross multiply
    5,188,651,884x = 11,415,023,064 × 11,415,023,064
  4. Step 4: Simplify right side
    5,188,651,884x = 130,302,751,551,651,954,688
  5. Step 5: Solve for x
    x = 130,302,751,551,651,954,688/5,188,651,884
  6. Step 6: Final answer
    x = 25,113,026,363.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.