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Finding the Third Proportional to 9,581,642,790.75 and 20,850,494,116.50

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Solution

The third proportional to 9,581,642,790.75 and 20,850,494,116.50 is: 45,372,501,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581,642,790.75 : 20,850,494,116.50 = 20,850,494,116.50 : x
  2. Step 2: Convert to fraction form
    9,581,642,790.75/20,850,494,116.50 = 20,850,494,116.50/x
  3. Step 3: Cross multiply
    9,581,642,790.75x = 20,850,494,116.50 × 20,850,494,116.50
  4. Step 4: Simplify right side
    9,581,642,790.75x = 434,743,104,902,201,147,392
  5. Step 5: Solve for x
    x = 434,743,104,902,201,147,392/9,581,642,790.75
  6. Step 6: Final answer
    x = 45,372,501,813.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.