Finding the Third Proportional to 21,196,146,561,152 and 46,106,077,337,056
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Solution
The third proportional to 21,196,146,561,152 and 46,106,077,337,056 is: 100,290,416,528,194.38
Step by Step Solution
- Step 1: Write the proportion equation
21,196,146,561,152 : 46,106,077,337,056 = 46,106,077,337,056 : x - Step 2: Convert to fraction form
21,196,146,561,152/46,106,077,337,056 = 46,106,077,337,056/x - Step 3: Cross multiply
21,196,146,561,152x = 46,106,077,337,056 × 46,106,077,337,056 - Step 4: Simplify right side
21,196,146,561,152x = 2,125,770,367,410,589,020,798,844,928 - Step 5: Solve for x
x = 2,125,770,367,410,589,020,798,844,928/21,196,146,561,152 - Step 6: Final answer
x = 100,290,416,528,194.38
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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.