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Finding the Third Proportional to 259,322,556 and 566,035,608

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Solution

The third proportional to 259,322,556 and 566,035,608 is: 1,235,512,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,322,556 : 566,035,608 = 566,035,608 : x
  2. Step 2: Convert to fraction form
    259,322,556/566,035,608 = 566,035,608/x
  3. Step 3: Cross multiply
    259,322,556x = 566,035,608 × 566,035,608
  4. Step 4: Simplify right side
    259,322,556x = 320,396,309,523,929,664
  5. Step 5: Solve for x
    x = 320,396,309,523,929,664/259,322,556
  6. Step 6: Final answer
    x = 1,235,512,693.02

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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.