Finding the Third Proportional to 345,346,699,296 and 770,099,795,520
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Solution
The third proportional to 345,346,699,296 and 770,099,795,520 is: 1,717,270,488,668.07
Step by Step Solution
- Step 1: Write the proportion equation
345,346,699,296 : 770,099,795,520 = 770,099,795,520 : x - Step 2: Convert to fraction form
345,346,699,296/770,099,795,520 = 770,099,795,520/x - Step 3: Cross multiply
345,346,699,296x = 770,099,795,520 × 770,099,795,520 - Step 4: Simplify right side
345,346,699,296x = 593,053,695,059,945,811,083,264 - Step 5: Solve for x
x = 593,053,695,059,945,811,083,264/345,346,699,296 - Step 6: Final answer
x = 1,717,270,488,668.07
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.