Finding the Third Proportional to 399,058,770,896 and 868,367,978,656
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Solution
The third proportional to 399,058,770,896 and 868,367,978,656 is: 1,889,603,740,977.86
Step by Step Solution
- Step 1: Write the proportion equation
399,058,770,896 : 868,367,978,656 = 868,367,978,656 : x - Step 2: Convert to fraction form
399,058,770,896/868,367,978,656 = 868,367,978,656/x - Step 3: Cross multiply
399,058,770,896x = 868,367,978,656 × 868,367,978,656 - Step 4: Simplify right side
399,058,770,896x = 754,062,946,355,107,309,027,328 - Step 5: Solve for x
x = 754,062,946,355,107,309,027,328/399,058,770,896 - Step 6: Final answer
x = 1,889,603,740,977.86
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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.