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Finding the Third Proportional to 550,153,422 and 823,049,007

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Solution

The third proportional to 550,153,422 and 823,049,007 is: 1,231,310,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,153,422 : 823,049,007 = 823,049,007 : x
  2. Step 2: Convert to fraction form
    550,153,422/823,049,007 = 823,049,007/x
  3. Step 3: Cross multiply
    550,153,422x = 823,049,007 × 823,049,007
  4. Step 4: Simplify right side
    550,153,422x = 677,409,667,923,686,016
  5. Step 5: Solve for x
    x = 677,409,667,923,686,016/550,153,422
  6. Step 6: Final answer
    x = 1,231,310,468.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.