Finding the Third Proportional to 382,626,534,528 and 822,036,078,384
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Solution
The third proportional to 382,626,534,528 and 822,036,078,384 is: 1,766,064,956,782.28
Step by Step Solution
- Step 1: Write the proportion equation
382,626,534,528 : 822,036,078,384 = 822,036,078,384 : x - Step 2: Convert to fraction form
382,626,534,528/822,036,078,384 = 822,036,078,384/x - Step 3: Cross multiply
382,626,534,528x = 822,036,078,384 × 822,036,078,384 - Step 4: Simplify right side
382,626,534,528x = 675,743,314,164,945,826,873,344 - Step 5: Solve for x
x = 675,743,314,164,945,826,873,344/382,626,534,528 - Step 6: Final answer
x = 1,766,064,956,782.28
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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.