Finding the Third Proportional to 399,058,770,898 and 868,367,978,660
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Solution
The third proportional to 399,058,770,898 and 868,367,978,660 is: 1,889,603,740,985.80
Step by Step Solution
- Step 1: Write the proportion equation
399,058,770,898 : 868,367,978,660 = 868,367,978,660 : x - Step 2: Convert to fraction form
399,058,770,898/868,367,978,660 = 868,367,978,660/x - Step 3: Cross multiply
399,058,770,898x = 868,367,978,660 × 868,367,978,660 - Step 4: Simplify right side
399,058,770,898x = 754,062,946,362,054,150,193,152 - Step 5: Solve for x
x = 754,062,946,362,054,150,193,152/399,058,770,898 - Step 6: Final answer
x = 1,889,603,740,985.80
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.