Finding the Third Proportional to 303,669,853,756 and 653,040,976,336
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Solution
The third proportional to 303,669,853,756 and 653,040,976,336 is: 1,404,362,374,134.58
Step by Step Solution
- Step 1: Write the proportion equation
303,669,853,756 : 653,040,976,336 = 653,040,976,336 : x - Step 2: Convert to fraction form
303,669,853,756/653,040,976,336 = 653,040,976,336/x - Step 3: Cross multiply
303,669,853,756x = 653,040,976,336 × 653,040,976,336 - Step 4: Simplify right side
303,669,853,756x = 426,462,516,773,876,119,109,632 - Step 5: Solve for x
x = 426,462,516,773,876,119,109,632/303,669,853,756 - Step 6: Final answer
x = 1,404,362,374,134.58
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.