Finding the Third Proportional to 17,990,422,339,104 and 27,407,164,006,952
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Solution
The third proportional to 17,990,422,339,104 and 27,407,164,006,952 is: 41,752,918,566,634.15
Step by Step Solution
- Step 1: Write the proportion equation
17,990,422,339,104 : 27,407,164,006,952 = 27,407,164,006,952 : x - Step 2: Convert to fraction form
17,990,422,339,104/27,407,164,006,952 = 27,407,164,006,952/x - Step 3: Cross multiply
17,990,422,339,104x = 27,407,164,006,952 × 27,407,164,006,952 - Step 4: Simplify right side
17,990,422,339,104x = 751,152,638,903,965,191,334,002,688 - Step 5: Solve for x
x = 751,152,638,903,965,191,334,002,688/17,990,422,339,104 - Step 6: Final answer
x = 41,752,918,566,634.15
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.