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Finding the Third Proportional to 2,236,057,140.75 and 4,844,770,264.50

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Solution

The third proportional to 2,236,057,140.75 and 4,844,770,264.50 is: 10,496,958,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236,057,140.75 : 4,844,770,264.50 = 4,844,770,264.50 : x
  2. Step 2: Convert to fraction form
    2,236,057,140.75/4,844,770,264.50 = 4,844,770,264.50/x
  3. Step 3: Cross multiply
    2,236,057,140.75x = 4,844,770,264.50 × 4,844,770,264.50
  4. Step 4: Simplify right side
    2,236,057,140.75x = 23,471,798,915,783,401,472
  5. Step 5: Solve for x
    x = 23,471,798,915,783,401,472/2,236,057,140.75
  6. Step 6: Final answer
    x = 10,496,958,457.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.