Finding the Third Proportional to 121,943,969,274 and 264,151,252,464
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Solution
The third proportional to 121,943,969,274 and 264,151,252,464 is: 572,196,268,447.83
Step by Step Solution
- Step 1: Write the proportion equation
121,943,969,274 : 264,151,252,464 = 264,151,252,464 : x - Step 2: Convert to fraction form
121,943,969,274/264,151,252,464 = 264,151,252,464/x - Step 3: Cross multiply
121,943,969,274x = 264,151,252,464 × 264,151,252,464 - Step 4: Simplify right side
121,943,969,274x = 69,775,884,178,299,866,316,800 - Step 5: Solve for x
x = 69,775,884,178,299,866,316,800/121,943,969,274 - Step 6: Final answer
x = 572,196,268,447.83
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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.