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Finding the Third Proportional to 6,191,741,792 and 13,471,816,432

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Solution

The third proportional to 6,191,741,792 and 13,471,816,432 is: 29,311,596,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191,741,792 : 13,471,816,432 = 13,471,816,432 : x
  2. Step 2: Convert to fraction form
    6,191,741,792/13,471,816,432 = 13,471,816,432/x
  3. Step 3: Cross multiply
    6,191,741,792x = 13,471,816,432 × 13,471,816,432
  4. Step 4: Simplify right side
    6,191,741,792x = 181,489,837,977,505,202,176
  5. Step 5: Solve for x
    x = 181,489,837,977,505,202,176/6,191,741,792
  6. Step 6: Final answer
    x = 29,311,596,651.53

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Why These Related Problems?

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