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Finding the Third Proportional to 9,628,491,994.50 and 20,966,325,409.50

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Solution

The third proportional to 9,628,491,994.50 and 20,966,325,409.50 is: 45,654,792,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628,491,994.50 : 20,966,325,409.50 = 20,966,325,409.50 : x
  2. Step 2: Convert to fraction form
    9,628,491,994.50/20,966,325,409.50 = 20,966,325,409.50/x
  3. Step 3: Cross multiply
    9,628,491,994.50x = 20,966,325,409.50 × 20,966,325,409.50
  4. Step 4: Simplify right side
    9,628,491,994.50x = 439,586,801,177,045,368,832
  5. Step 5: Solve for x
    x = 439,586,801,177,045,368,832/9,628,491,994.50
  6. Step 6: Final answer
    x = 45,654,792,196.76

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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.