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Finding the Third Proportional to 936,695,933,292 and 1,263,822,750,693

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Solution

The third proportional to 936,695,933,292 and 1,263,822,750,693 is: 1,705,193,636,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,695,933,292 : 1,263,822,750,693 = 1,263,822,750,693 : x
  2. Step 2: Convert to fraction form
    936,695,933,292/1,263,822,750,693 = 1,263,822,750,693/x
  3. Step 3: Cross multiply
    936,695,933,292x = 1,263,822,750,693 × 1,263,822,750,693
  4. Step 4: Simplify right side
    936,695,933,292x = 1,597,247,945,169,220,933,779,456
  5. Step 5: Solve for x
    x = 1,597,247,945,169,220,933,779,456/936,695,933,292
  6. Step 6: Final answer
    x = 1,705,193,636,910.24

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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.