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Finding the Third Proportional to 936,695,933,279 and 1,263,822,750,673

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Solution

The third proportional to 936,695,933,279 and 1,263,822,750,673 is: 1,705,193,636,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,695,933,279 : 1,263,822,750,673 = 1,263,822,750,673 : x
  2. Step 2: Convert to fraction form
    936,695,933,279/1,263,822,750,673 = 1,263,822,750,673/x
  3. Step 3: Cross multiply
    936,695,933,279x = 1,263,822,750,673 × 1,263,822,750,673
  4. Step 4: Simplify right side
    936,695,933,279x = 1,597,247,945,118,667,826,528,256
  5. Step 5: Solve for x
    x = 1,597,247,945,118,667,826,528,256/936,695,933,279
  6. Step 6: Final answer
    x = 1,705,193,636,879.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.