Finding the Third Proportional to 308,670,672,242 and 668,632,857,834
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Solution
The third proportional to 308,670,672,242 and 668,632,857,834 is: 1,448,371,804,577.39
Step by Step Solution
- Step 1: Write the proportion equation
308,670,672,242 : 668,632,857,834 = 668,632,857,834 : x - Step 2: Convert to fraction form
308,670,672,242/668,632,857,834 = 668,632,857,834/x - Step 3: Cross multiply
308,670,672,242x = 668,632,857,834 × 668,632,857,834 - Step 4: Simplify right side
308,670,672,242x = 447,069,898,575,262,087,380,992 - Step 5: Solve for x
x = 447,069,898,575,262,087,380,992/308,670,672,242 - Step 6: Final answer
x = 1,448,371,804,577.39
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.