Finding the Third Proportional to 20,971,640,159 and 46,003,497,849
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Solution
The third proportional to 20,971,640,159 and 46,003,497,849 is: 100,913,509,782.63
Step by Step Solution
- Step 1: Write the proportion equation
20,971,640,159 : 46,003,497,849 = 46,003,497,849 : x - Step 2: Convert to fraction form
20,971,640,159/46,003,497,849 = 46,003,497,849/x - Step 3: Cross multiply
20,971,640,159x = 46,003,497,849 × 46,003,497,849 - Step 4: Simplify right side
20,971,640,159x = 2,116,321,814,342,947,569,664 - Step 5: Solve for x
x = 2,116,321,814,342,947,569,664/20,971,640,159 - Step 6: Final answer
x = 100,913,509,782.63
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.