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Finding the Third Proportional to 23,905,844,173 and 35,727,008,253

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Solution

The third proportional to 23,905,844,173 and 35,727,008,253 is: 53,393,601,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,905,844,173 : 35,727,008,253 = 35,727,008,253 : x
  2. Step 2: Convert to fraction form
    23,905,844,173/35,727,008,253 = 35,727,008,253/x
  3. Step 3: Cross multiply
    23,905,844,173x = 35,727,008,253 × 35,727,008,253
  4. Step 4: Simplify right side
    23,905,844,173x = 1,276,419,118,709,930,196,992
  5. Step 5: Solve for x
    x = 1,276,419,118,709,930,196,992/23,905,844,173
  6. Step 6: Final answer
    x = 53,393,601,559.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.