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Finding the Third Proportional to 11,061,183,616 and 16,171,837,080

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Solution

The third proportional to 11,061,183,616 and 16,171,837,080 is: 23,643,791,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,061,183,616 : 16,171,837,080 = 16,171,837,080 : x
  2. Step 2: Convert to fraction form
    11,061,183,616/16,171,837,080 = 16,171,837,080/x
  3. Step 3: Cross multiply
    11,061,183,616x = 16,171,837,080 × 16,171,837,080
  4. Step 4: Simplify right side
    11,061,183,616x = 261,528,314,542,062,927,872
  5. Step 5: Solve for x
    x = 261,528,314,542,062,927,872/11,061,183,616
  6. Step 6: Final answer
    x = 23,643,791,082.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.