Finding the Third Proportional to 4,261,919,497,878 and 8,749,775,764,092
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Solution
The third proportional to 4,261,919,497,878 and 8,749,775,764,092 is: 17,963,402,631,140.75
Step by Step Solution
- Step 1: Write the proportion equation
4,261,919,497,878 : 8,749,775,764,092 = 8,749,775,764,092 : x - Step 2: Convert to fraction form
4,261,919,497,878/8,749,775,764,092 = 8,749,775,764,092/x - Step 3: Cross multiply
4,261,919,497,878x = 8,749,775,764,092 × 8,749,775,764,092 - Step 4: Simplify right side
4,261,919,497,878x = 76,558,575,921,891,743,314,739,200 - Step 5: Solve for x
x = 76,558,575,921,891,743,314,739,200/4,261,919,497,878 - Step 6: Final answer
x = 17,963,402,631,140.75
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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.