Finding the Third Proportional to 435,415,405,822 and 681,544,032,088
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Solution
The third proportional to 435,415,405,822 and 681,544,032,088 is: 1,066,802,555,591.38
Step by Step Solution
- Step 1: Write the proportion equation
435,415,405,822 : 681,544,032,088 = 681,544,032,088 : x - Step 2: Convert to fraction form
435,415,405,822/681,544,032,088 = 681,544,032,088/x - Step 3: Cross multiply
435,415,405,822x = 681,544,032,088 × 681,544,032,088 - Step 4: Simplify right side
435,415,405,822x = 464,502,267,674,768,770,596,864 - Step 5: Solve for x
x = 464,502,267,674,768,770,596,864/435,415,405,822 - Step 6: Final answer
x = 1,066,802,555,591.38
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.