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Finding the Third Proportional to 550,149,036 and 823,045,092

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Solution

The third proportional to 550,149,036 and 823,045,092 is: 1,231,308,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,149,036 : 823,045,092 = 823,045,092 : x
  2. Step 2: Convert to fraction form
    550,149,036/823,045,092 = 823,045,092/x
  3. Step 3: Cross multiply
    550,149,036x = 823,045,092 × 823,045,092
  4. Step 4: Simplify right side
    550,149,036x = 677,403,223,465,288,448
  5. Step 5: Solve for x
    x = 677,403,223,465,288,448/550,149,036
  6. Step 6: Final answer
    x = 1,231,308,571.20

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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.