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Finding the Third Proportional to 423,033,585,853 and 929,173,259,285

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Solution

The third proportional to 423,033,585,853 and 929,173,259,285 is: 2,040,885,108,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,033,585,853 : 929,173,259,285 = 929,173,259,285 : x
  2. Step 2: Convert to fraction form
    423,033,585,853/929,173,259,285 = 929,173,259,285/x
  3. Step 3: Cross multiply
    423,033,585,853x = 929,173,259,285 × 929,173,259,285
  4. Step 4: Simplify right side
    423,033,585,853x = 863,362,945,770,309,875,138,560
  5. Step 5: Solve for x
    x = 863,362,945,770,309,875,138,560/423,033,585,853
  6. Step 6: Final answer
    x = 2,040,885,108,517.88

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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.