Finding the Third Proportional to 389,953,925,802 and 849,136,179,132
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Solution
The third proportional to 389,953,925,802 and 849,136,179,132 is: 1,849,019,084,057.12
Step by Step Solution
- Step 1: Write the proportion equation
389,953,925,802 : 849,136,179,132 = 849,136,179,132 : x - Step 2: Convert to fraction form
389,953,925,802/849,136,179,132 = 849,136,179,132/x - Step 3: Cross multiply
389,953,925,802x = 849,136,179,132 × 849,136,179,132 - Step 4: Simplify right side
389,953,925,802x = 721,032,250,710,891,998,216,192 - Step 5: Solve for x
x = 721,032,250,710,891,998,216,192/389,953,925,802 - Step 6: Final answer
x = 1,849,019,084,057.12
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.