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Finding the Third Proportional to 43,114,380,689 and 94,356,454,002

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Solution

The third proportional to 43,114,380,689 and 94,356,454,002 is: 206,500,482,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,114,380,689 : 94,356,454,002 = 94,356,454,002 : x
  2. Step 2: Convert to fraction form
    43,114,380,689/94,356,454,002 = 94,356,454,002/x
  3. Step 3: Cross multiply
    43,114,380,689x = 94,356,454,002 × 94,356,454,002
  4. Step 4: Simplify right side
    43,114,380,689x = 8,903,140,411,831,542,087,680
  5. Step 5: Solve for x
    x = 8,903,140,411,831,542,087,680/43,114,380,689
  6. Step 6: Final answer
    x = 206,500,482,427.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.