Finding the Third Proportional to 199,050,747,636 and 438,674,378,096
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Solution
The third proportional to 199,050,747,636 and 438,674,378,096 is: 966,764,567,746.39
Step by Step Solution
- Step 1: Write the proportion equation
199,050,747,636 : 438,674,378,096 = 438,674,378,096 : x - Step 2: Convert to fraction form
199,050,747,636/438,674,378,096 = 438,674,378,096/x - Step 3: Cross multiply
199,050,747,636x = 438,674,378,096 × 438,674,378,096 - Step 4: Simplify right side
199,050,747,636x = 192,435,209,997,912,348,033,024 - Step 5: Solve for x
x = 192,435,209,997,912,348,033,024/199,050,747,636 - Step 6: Final answer
x = 966,764,567,746.39
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.