Finding the Third Proportional to 5,051,163,849,504 and 10,370,104,609,512
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Solution
The third proportional to 5,051,163,849,504 and 10,370,104,609,512 is: 21,289,958,674,134.45
Step by Step Solution
- Step 1: Write the proportion equation
5,051,163,849,504 : 10,370,104,609,512 = 10,370,104,609,512 : x - Step 2: Convert to fraction form
5,051,163,849,504/10,370,104,609,512 = 10,370,104,609,512/x - Step 3: Cross multiply
5,051,163,849,504x = 10,370,104,609,512 × 10,370,104,609,512 - Step 4: Simplify right side
5,051,163,849,504x = 107,539,069,612,222,032,388,292,608 - Step 5: Solve for x
x = 107,539,069,612,222,032,388,292,608/5,051,163,849,504 - Step 6: Final answer
x = 21,289,958,674,134.45
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.