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Finding the Third Proportional to 467,085,615 and 1,027,409,966

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Solution

The third proportional to 467,085,615 and 1,027,409,966 is: 2,259,909,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,085,615 : 1,027,409,966 = 1,027,409,966 : x
  2. Step 2: Convert to fraction form
    467,085,615/1,027,409,966 = 1,027,409,966/x
  3. Step 3: Cross multiply
    467,085,615x = 1,027,409,966 × 1,027,409,966
  4. Step 4: Simplify right side
    467,085,615x = 1,055,571,238,236,121,216
  5. Step 5: Solve for x
    x = 1,055,571,238,236,121,216/467,085,615
  6. Step 6: Final answer
    x = 2,259,909,541.93

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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.