Finding the Third Proportional to 838,324,158,020 and 1,823,531,383,028
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Solution
The third proportional to 838,324,158,020 and 1,823,531,383,028 is: 3,966,564,333,230.96
Step by Step Solution
- Step 1: Write the proportion equation
838,324,158,020 : 1,823,531,383,028 = 1,823,531,383,028 : x - Step 2: Convert to fraction form
838,324,158,020/1,823,531,383,028 = 1,823,531,383,028/x - Step 3: Cross multiply
838,324,158,020x = 1,823,531,383,028 × 1,823,531,383,028 - Step 4: Simplify right side
838,324,158,020x = 3,325,266,704,888,010,461,151,232 - Step 5: Solve for x
x = 3,325,266,704,888,010,461,151,232/838,324,158,020 - Step 6: Final answer
x = 3,966,564,333,230.96
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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.