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Finding the Third Proportional to 5,174,840,796.75 and 11,256,367,097.25

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Solution

The third proportional to 5,174,840,796.75 and 11,256,367,097.25 is: 24,484,965,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,840,796.75 : 11,256,367,097.25 = 11,256,367,097.25 : x
  2. Step 2: Convert to fraction form
    5,174,840,796.75/11,256,367,097.25 = 11,256,367,097.25/x
  3. Step 3: Cross multiply
    5,174,840,796.75x = 11,256,367,097.25 × 11,256,367,097.25
  4. Step 4: Simplify right side
    5,174,840,796.75x = 126,705,800,228,052,385,792
  5. Step 5: Solve for x
    x = 126,705,800,228,052,385,792/5,174,840,796.75
  6. Step 6: Final answer
    x = 24,484,965,857.82

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