Finding the Third Proportional to 205,437,486,320 and 416,651,407,648
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Solution
The third proportional to 205,437,486,320 and 416,651,407,648 is: 845,018,105,530.43
Step by Step Solution
- Step 1: Write the proportion equation
205,437,486,320 : 416,651,407,648 = 416,651,407,648 : x - Step 2: Convert to fraction form
205,437,486,320/416,651,407,648 = 416,651,407,648/x - Step 3: Cross multiply
205,437,486,320x = 416,651,407,648 × 416,651,407,648 - Step 4: Simplify right side
205,437,486,320x = 173,598,395,495,059,875,168,256 - Step 5: Solve for x
x = 173,598,395,495,059,875,168,256/205,437,486,320 - Step 6: Final answer
x = 845,018,105,530.43
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.