Finding the Third Proportional to 19,217,957,404,238 and 42,107,455,623,924
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Solution
The third proportional to 19,217,957,404,238 and 42,107,455,623,924 is: 92,259,431,209,361.17
Step by Step Solution
- Step 1: Write the proportion equation
19,217,957,404,238 : 42,107,455,623,924 = 42,107,455,623,924 : x - Step 2: Convert to fraction form
19,217,957,404,238/42,107,455,623,924 = 42,107,455,623,924/x - Step 3: Cross multiply
19,217,957,404,238x = 42,107,455,623,924 × 42,107,455,623,924 - Step 4: Simplify right side
19,217,957,404,238x = 1,773,037,819,120,728,997,749,587,968 - Step 5: Solve for x
x = 1,773,037,819,120,728,997,749,587,968/19,217,957,404,238 - Step 6: Final answer
x = 92,259,431,209,361.17
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.