Finding the Third Proportional to 838,324,185,786 and 1,823,531,437,152
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Solution
The third proportional to 838,324,185,786 and 1,823,531,437,152 is: 3,966,564,437,317.19
Step by Step Solution
- Step 1: Write the proportion equation
838,324,185,786 : 1,823,531,437,152 = 1,823,531,437,152 : x - Step 2: Convert to fraction form
838,324,185,786/1,823,531,437,152 = 1,823,531,437,152/x - Step 3: Cross multiply
838,324,185,786x = 1,823,531,437,152 × 1,823,531,437,152 - Step 4: Simplify right side
838,324,185,786x = 3,325,266,902,281,638,631,178,240 - Step 5: Solve for x
x = 3,325,266,902,281,638,631,178,240/838,324,185,786 - Step 6: Final answer
x = 3,966,564,437,317.19
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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.