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Finding the Third Proportional to 3,052,372,224 and 6,611,831,328

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Solution

The third proportional to 3,052,372,224 and 6,611,831,328 is: 14,322,078,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052,372,224 : 6,611,831,328 = 6,611,831,328 : x
  2. Step 2: Convert to fraction form
    3,052,372,224/6,611,831,328 = 6,611,831,328/x
  3. Step 3: Cross multiply
    3,052,372,224x = 6,611,831,328 × 6,611,831,328
  4. Step 4: Simplify right side
    3,052,372,224x = 43,716,313,509,922,242,560
  5. Step 5: Solve for x
    x = 43,716,313,509,922,242,560/3,052,372,224
  6. Step 6: Final answer
    x = 14,322,078,141.78

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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.