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Finding the Third Proportional to 19,784,914,692 and 42,669,105,816

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Solution

The third proportional to 19,784,914,692 and 42,669,105,816 is: 92,022,261,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784,914,692 : 42,669,105,816 = 42,669,105,816 : x
  2. Step 2: Convert to fraction form
    19,784,914,692/42,669,105,816 = 42,669,105,816/x
  3. Step 3: Cross multiply
    19,784,914,692x = 42,669,105,816 × 42,669,105,816
  4. Step 4: Simplify right side
    19,784,914,692x = 1,820,652,591,137,004,978,176
  5. Step 5: Solve for x
    x = 1,820,652,591,137,004,978,176/19,784,914,692
  6. Step 6: Final answer
    x = 92,022,261,378.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.