Finding the Third Proportional to 128,719,431,946 and 277,111,200,020
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Solution
The third proportional to 128,719,431,946 and 277,111,200,020 is: 596,573,617,639.48
Step by Step Solution
- Step 1: Write the proportion equation
128,719,431,946 : 277,111,200,020 = 277,111,200,020 : x - Step 2: Convert to fraction form
128,719,431,946/277,111,200,020 = 277,111,200,020/x - Step 3: Cross multiply
128,719,431,946x = 277,111,200,020 × 277,111,200,020 - Step 4: Simplify right side
128,719,431,946x = 76,790,617,176,524,455,936,000 - Step 5: Solve for x
x = 76,790,617,176,524,455,936,000/128,719,431,946 - Step 6: Final answer
x = 596,573,617,639.48
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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.