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Finding the Third Proportional to 467,085,611 and 1,027,409,958

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Solution

The third proportional to 467,085,611 and 1,027,409,958 is: 2,259,909,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,085,611 : 1,027,409,958 = 1,027,409,958 : x
  2. Step 2: Convert to fraction form
    467,085,611/1,027,409,958 = 1,027,409,958/x
  3. Step 3: Cross multiply
    467,085,611x = 1,027,409,958 × 1,027,409,958
  4. Step 4: Simplify right side
    467,085,611x = 1,055,571,221,797,561,728
  5. Step 5: Solve for x
    x = 1,055,571,221,797,561,728/467,085,611
  6. Step 6: Final answer
    x = 2,259,909,526.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.