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Finding the Third Proportional to 1,698,944,622,200 and 3,640,220,494,144

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Solution

The third proportional to 1,698,944,622,200 and 3,640,220,494,144 is: 7,799,668,731,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,944,622,200 : 3,640,220,494,144 = 3,640,220,494,144 : x
  2. Step 2: Convert to fraction form
    1,698,944,622,200/3,640,220,494,144 = 3,640,220,494,144/x
  3. Step 3: Cross multiply
    1,698,944,622,200x = 3,640,220,494,144 × 3,640,220,494,144
  4. Step 4: Simplify right side
    1,698,944,622,200x = 13,251,205,245,985,988,378,886,144
  5. Step 5: Solve for x
    x = 13,251,205,245,985,988,378,886,144/1,698,944,622,200
  6. Step 6: Final answer
    x = 7,799,668,731,301.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.