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Finding the Third Proportional to 24,766,967,174 and 53,887,265,740

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Solution

The third proportional to 24,766,967,174 and 53,887,265,740 is: 117,246,386,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766,967,174 : 53,887,265,740 = 53,887,265,740 : x
  2. Step 2: Convert to fraction form
    24,766,967,174/53,887,265,740 = 53,887,265,740/x
  3. Step 3: Cross multiply
    24,766,967,174x = 53,887,265,740 × 53,887,265,740
  4. Step 4: Simplify right side
    24,766,967,174x = 2,903,837,408,933,377,998,848
  5. Step 5: Solve for x
    x = 2,903,837,408,933,377,998,848/24,766,967,174
  6. Step 6: Final answer
    x = 117,246,386,629.92

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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.