Finding the Third Proportional to 13,495,407,598,016 and 20,558,859,115,264
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Solution
The third proportional to 13,495,407,598,016 and 20,558,859,115,264 is: 31,319,297,698,234.11
Step by Step Solution
- Step 1: Write the proportion equation
13,495,407,598,016 : 20,558,859,115,264 = 20,558,859,115,264 : x - Step 2: Convert to fraction form
13,495,407,598,016/20,558,859,115,264 = 20,558,859,115,264/x - Step 3: Cross multiply
13,495,407,598,016x = 20,558,859,115,264 × 20,558,859,115,264 - Step 4: Simplify right side
13,495,407,598,016x = 422,666,688,121,273,665,370,193,920 - Step 5: Solve for x
x = 422,666,688,121,273,665,370,193,920/13,495,407,598,016 - Step 6: Final answer
x = 31,319,297,698,234.11
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.