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Finding the Third Proportional to 965,571,738.75 and 2,085,504,894

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Solution

The third proportional to 965,571,738.75 and 2,085,504,894 is: 4,504,409,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,571,738.75 : 2,085,504,894 = 2,085,504,894 : x
  2. Step 2: Convert to fraction form
    965,571,738.75/2,085,504,894 = 2,085,504,894/x
  3. Step 3: Cross multiply
    965,571,738.75x = 2,085,504,894 × 2,085,504,894
  4. Step 4: Simplify right side
    965,571,738.75x = 4,349,330,662,897,951,232
  5. Step 5: Solve for x
    x = 4,349,330,662,897,951,232/965,571,738.75
  6. Step 6: Final answer
    x = 4,504,409,655.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.