Finding the Third Proportional to 302,375,641,630 and 647,881,039,404
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Solution
The third proportional to 302,375,641,630 and 647,881,039,404 is: 1,388,173,461,845.29
Step by Step Solution
- Step 1: Write the proportion equation
302,375,641,630 : 647,881,039,404 = 647,881,039,404 : x - Step 2: Convert to fraction form
302,375,641,630/647,881,039,404 = 647,881,039,404/x - Step 3: Cross multiply
302,375,641,630x = 647,881,039,404 × 647,881,039,404 - Step 4: Simplify right side
302,375,641,630x = 419,749,841,219,207,420,706,816 - Step 5: Solve for x
x = 419,749,841,219,207,420,706,816/302,375,641,630 - Step 6: Final answer
x = 1,388,173,461,845.29
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.