Finding the Third Proportional to 126,442,976,234 and 273,038,769,982
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Solution
The third proportional to 126,442,976,234 and 273,038,769,982 is: 589,595,184,593.87
Step by Step Solution
- Step 1: Write the proportion equation
126,442,976,234 : 273,038,769,982 = 273,038,769,982 : x - Step 2: Convert to fraction form
126,442,976,234/273,038,769,982 = 273,038,769,982/x - Step 3: Cross multiply
126,442,976,234x = 273,038,769,982 × 273,038,769,982 - Step 4: Simplify right side
126,442,976,234x = 74,550,169,913,283,504,504,832 - Step 5: Solve for x
x = 74,550,169,913,283,504,504,832/126,442,976,234 - Step 6: Final answer
x = 589,595,184,593.87
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.