Finding the Third Proportional to 308,701,638,546 and 668,688,042,180
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Solution
The third proportional to 308,701,638,546 and 668,688,042,180 is: 1,448,465,579,452.67
Step by Step Solution
- Step 1: Write the proportion equation
308,701,638,546 : 668,688,042,180 = 668,688,042,180 : x - Step 2: Convert to fraction form
308,701,638,546/668,688,042,180 = 668,688,042,180/x - Step 3: Cross multiply
308,701,638,546x = 668,688,042,180 × 668,688,042,180 - Step 4: Simplify right side
308,701,638,546x = 447,143,697,754,521,488,850,944 - Step 5: Solve for x
x = 447,143,697,754,521,488,850,944/308,701,638,546 - Step 6: Final answer
x = 1,448,465,579,452.67
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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.