Finding the Third Proportional to 269,915,459,078 and 562,171,661,968
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Solution
The third proportional to 269,915,459,078 and 562,171,661,968 is: 1,170,873,941,786.84
Step by Step Solution
- Step 1: Write the proportion equation
269,915,459,078 : 562,171,661,968 = 562,171,661,968 : x - Step 2: Convert to fraction form
269,915,459,078/562,171,661,968 = 562,171,661,968/x - Step 3: Cross multiply
269,915,459,078x = 562,171,661,968 × 562,171,661,968 - Step 4: Simplify right side
269,915,459,078x = 316,036,977,519,863,225,384,960 - Step 5: Solve for x
x = 316,036,977,519,863,225,384,960/269,915,459,078 - Step 6: Final answer
x = 1,170,873,941,786.84
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.