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Finding the Third Proportional to 936,695,933,256 and 1,263,822,750,639

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Solution

The third proportional to 936,695,933,256 and 1,263,822,750,639 is: 1,705,193,636,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,695,933,256 : 1,263,822,750,639 = 1,263,822,750,639 : x
  2. Step 2: Convert to fraction form
    936,695,933,256/1,263,822,750,639 = 1,263,822,750,639/x
  3. Step 3: Cross multiply
    936,695,933,256x = 1,263,822,750,639 × 1,263,822,750,639
  4. Step 4: Simplify right side
    936,695,933,256x = 1,597,247,945,032,727,946,854,400
  5. Step 5: Solve for x
    x = 1,597,247,945,032,727,946,854,400/936,695,933,256
  6. Step 6: Final answer
    x = 1,705,193,636,830.06

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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.