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Finding the Third Proportional to 11,500,325,319 and 17,665,907,892

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Solution

The third proportional to 11,500,325,319 and 17,665,907,892 is: 27,136,997,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500,325,319 : 17,665,907,892 = 17,665,907,892 : x
  2. Step 2: Convert to fraction form
    11,500,325,319/17,665,907,892 = 17,665,907,892/x
  3. Step 3: Cross multiply
    11,500,325,319x = 17,665,907,892 × 17,665,907,892
  4. Step 4: Simplify right side
    11,500,325,319x = 312,084,301,648,627,892,224
  5. Step 5: Solve for x
    x = 312,084,301,648,627,892,224/11,500,325,319
  6. Step 6: Final answer
    x = 27,136,997,692.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.