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Finding the Third Proportional to 5,739,329,616 and 11,936,716,176

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Solution

The third proportional to 5,739,329,616 and 11,936,716,176 is: 24,826,103,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739,329,616 : 11,936,716,176 = 11,936,716,176 : x
  2. Step 2: Convert to fraction form
    5,739,329,616/11,936,716,176 = 11,936,716,176/x
  3. Step 3: Cross multiply
    5,739,329,616x = 11,936,716,176 × 11,936,716,176
  4. Step 4: Simplify right side
    5,739,329,616x = 142,485,193,066,380,066,816
  5. Step 5: Solve for x
    x = 142,485,193,066,380,066,816/5,739,329,616
  6. Step 6: Final answer
    x = 24,826,103,848.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.