Finding the Third Proportional to 797,484,680,112 and 1,715,922,638,004
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Solution
The third proportional to 797,484,680,112 and 1,715,922,638,004 is: 3,692,096,629,619.38
Step by Step Solution
- Step 1: Write the proportion equation
797,484,680,112 : 1,715,922,638,004 = 1,715,922,638,004 : x - Step 2: Convert to fraction form
797,484,680,112/1,715,922,638,004 = 1,715,922,638,004/x - Step 3: Cross multiply
797,484,680,112x = 1,715,922,638,004 × 1,715,922,638,004 - Step 4: Simplify right side
797,484,680,112x = 2,944,390,499,614,606,577,631,232 - Step 5: Solve for x
x = 2,944,390,499,614,606,577,631,232/797,484,680,112 - Step 6: Final answer
x = 3,692,096,629,619.38
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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.