Finding the Third Proportional to 20,246,078,582,240 and 44,360,117,858,944
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Solution
The third proportional to 20,246,078,582,240 and 44,360,117,858,944 is: 97,195,120,944,832.64
Step by Step Solution
- Step 1: Write the proportion equation
20,246,078,582,240 : 44,360,117,858,944 = 44,360,117,858,944 : x - Step 2: Convert to fraction form
20,246,078,582,240/44,360,117,858,944 = 44,360,117,858,944/x - Step 3: Cross multiply
20,246,078,582,240x = 44,360,117,858,944 × 44,360,117,858,944 - Step 4: Simplify right side
20,246,078,582,240x = 1,967,820,056,459,402,407,476,985,856 - Step 5: Solve for x
x = 1,967,820,056,459,402,407,476,985,856/20,246,078,582,240 - Step 6: Final answer
x = 97,195,120,944,832.64
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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.