Finding the Third Proportional to 322,898,207,195 and 691,853,434,261
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Solution
The third proportional to 322,898,207,195 and 691,853,434,261 is: 1,482,390,313,209.99
Step by Step Solution
- Step 1: Write the proportion equation
322,898,207,195 : 691,853,434,261 = 691,853,434,261 : x - Step 2: Convert to fraction form
322,898,207,195/691,853,434,261 = 691,853,434,261/x - Step 3: Cross multiply
322,898,207,195x = 691,853,434,261 × 691,853,434,261 - Step 4: Simplify right side
322,898,207,195x = 478,661,174,498,739,875,741,696 - Step 5: Solve for x
x = 478,661,174,498,739,875,741,696/322,898,207,195 - Step 6: Final answer
x = 1,482,390,313,209.99
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.