Finding the Third Proportional to 4,261,919,497,885 and 8,749,775,764,106
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Solution
The third proportional to 4,261,919,497,885 and 8,749,775,764,106 is: 17,963,402,631,168.73
Step by Step Solution
- Step 1: Write the proportion equation
4,261,919,497,885 : 8,749,775,764,106 = 8,749,775,764,106 : x - Step 2: Convert to fraction form
4,261,919,497,885/8,749,775,764,106 = 8,749,775,764,106/x - Step 3: Cross multiply
4,261,919,497,885x = 8,749,775,764,106 × 8,749,775,764,106 - Step 4: Simplify right side
4,261,919,497,885x = 76,558,575,922,136,736,839,237,632 - Step 5: Solve for x
x = 76,558,575,922,136,736,839,237,632/4,261,919,497,885 - Step 6: Final answer
x = 17,963,402,631,168.73
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.