Finding the Third Proportional to 258,704,347,268 and 562,963,325,172
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Solution
The third proportional to 258,704,347,268 and 562,963,325,172 is: 1,225,057,517,724.66
Step by Step Solution
- Step 1: Write the proportion equation
258,704,347,268 : 562,963,325,172 = 562,963,325,172 : x - Step 2: Convert to fraction form
258,704,347,268/562,963,325,172 = 562,963,325,172/x - Step 3: Cross multiply
258,704,347,268x = 562,963,325,172 × 562,963,325,172 - Step 4: Simplify right side
258,704,347,268x = 316,927,705,488,715,012,898,816 - Step 5: Solve for x
x = 316,927,705,488,715,012,898,816/258,704,347,268 - Step 6: Final answer
x = 1,225,057,517,724.66
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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.