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Finding the Third Proportional to 467,085,613 and 1,027,409,962

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Solution

The third proportional to 467,085,613 and 1,027,409,962 is: 2,259,909,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,085,613 : 1,027,409,962 = 1,027,409,962 : x
  2. Step 2: Convert to fraction form
    467,085,613/1,027,409,962 = 1,027,409,962/x
  3. Step 3: Cross multiply
    467,085,613x = 1,027,409,962 × 1,027,409,962
  4. Step 4: Simplify right side
    467,085,613x = 1,055,571,230,016,841,472
  5. Step 5: Solve for x
    x = 1,055,571,230,016,841,472/467,085,613
  6. Step 6: Final answer
    x = 2,259,909,534.01

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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.