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Finding the Third Proportional to 503,569,980 and 1,083,667,486.78

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Solution

The third proportional to 503,569,980 and 1,083,667,486.78 is: 2,332,019,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,569,980 : 1,083,667,486.78 = 1,083,667,486.78 : x
  2. Step 2: Convert to fraction form
    503,569,980/1,083,667,486.78 = 1,083,667,486.78/x
  3. Step 3: Cross multiply
    503,569,980x = 1,083,667,486.78 × 1,083,667,486.78
  4. Step 4: Simplify right side
    503,569,980x = 1,174,335,221,906,682,112
  5. Step 5: Solve for x
    x = 1,174,335,221,906,682,112/503,569,980
  6. Step 6: Final answer
    x = 2,332,019,914.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.