Finding the Third Proportional to 354,638,608,344 and 529,633,996,901
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Solution
The third proportional to 354,638,608,344 and 529,633,996,901 is: 790,980,350,343.67
Step by Step Solution
- Step 1: Write the proportion equation
354,638,608,344 : 529,633,996,901 = 529,633,996,901 : x - Step 2: Convert to fraction form
354,638,608,344/529,633,996,901 = 529,633,996,901/x - Step 3: Cross multiply
354,638,608,344x = 529,633,996,901 × 529,633,996,901 - Step 4: Simplify right side
354,638,608,344x = 280,512,170,673,328,485,302,272 - Step 5: Solve for x
x = 280,512,170,673,328,485,302,272/354,638,608,344 - Step 6: Final answer
x = 790,980,350,343.67
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.