Finding the Third Proportional to 256,221,439,314 and 551,003,324,196
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Solution
The third proportional to 256,221,439,314 and 551,003,324,196 is: 1,184,930,753,991.18
Step by Step Solution
- Step 1: Write the proportion equation
256,221,439,314 : 551,003,324,196 = 551,003,324,196 : x - Step 2: Convert to fraction form
256,221,439,314/551,003,324,196 = 551,003,324,196/x - Step 3: Cross multiply
256,221,439,314x = 551,003,324,196 × 551,003,324,196 - Step 4: Simplify right side
256,221,439,314x = 303,604,663,275,042,300,231,680 - Step 5: Solve for x
x = 303,604,663,275,042,300,231,680/256,221,439,314 - Step 6: Final answer
x = 1,184,930,753,991.18
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.