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Finding the Third Proportional to 5,047,120,311 and 10,982,975,982

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Solution

The third proportional to 5,047,120,311 and 10,982,975,982 is: 23,899,917,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047,120,311 : 10,982,975,982 = 10,982,975,982 : x
  2. Step 2: Convert to fraction form
    5,047,120,311/10,982,975,982 = 10,982,975,982/x
  3. Step 3: Cross multiply
    5,047,120,311x = 10,982,975,982 × 10,982,975,982
  4. Step 4: Simplify right side
    5,047,120,311x = 120,625,761,421,188,857,856
  5. Step 5: Solve for x
    x = 120,625,761,421,188,857,856/5,047,120,311
  6. Step 6: Final answer
    x = 23,899,917,970.71

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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.