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Finding the Third Proportional to 936,696,168,360 and 1,263,823,045,452

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Solution

The third proportional to 936,696,168,360 and 1,263,823,045,452 is: 1,705,194,004,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,696,168,360 : 1,263,823,045,452 = 1,263,823,045,452 : x
  2. Step 2: Convert to fraction form
    936,696,168,360/1,263,823,045,452 = 1,263,823,045,452/x
  3. Step 3: Cross multiply
    936,696,168,360x = 1,263,823,045,452 × 1,263,823,045,452
  4. Step 4: Simplify right side
    936,696,168,360x = 1,597,248,690,215,568,099,246,080
  5. Step 5: Solve for x
    x = 1,597,248,690,215,568,099,246,080/936,696,168,360
  6. Step 6: Final answer
    x = 1,705,194,004,382.54

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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.