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Finding the Third Proportional to 13,347,986,173.50 and 18,177,678,825

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Solution

The third proportional to 13,347,986,173.50 and 18,177,678,825 is: 24,754,895,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347,986,173.50 : 18,177,678,825 = 18,177,678,825 : x
  2. Step 2: Convert to fraction form
    13,347,986,173.50/18,177,678,825 = 18,177,678,825/x
  3. Step 3: Cross multiply
    13,347,986,173.50x = 18,177,678,825 × 18,177,678,825
  4. Step 4: Simplify right side
    13,347,986,173.50x = 330,428,007,464,853,372,928
  5. Step 5: Solve for x
    x = 330,428,007,464,853,372,928/13,347,986,173.50
  6. Step 6: Final answer
    x = 24,754,895,844.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.