Finding the Third Proportional to 269,915,510,364 and 562,171,768,116
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Solution
The third proportional to 269,915,510,364 and 562,171,768,116 is: 1,170,874,161,475.46
Step by Step Solution
- Step 1: Write the proportion equation
269,915,510,364 : 562,171,768,116 = 562,171,768,116 : x - Step 2: Convert to fraction form
269,915,510,364/562,171,768,116 = 562,171,768,116/x - Step 3: Cross multiply
269,915,510,364x = 562,171,768,116 × 562,171,768,116 - Step 4: Simplify right side
269,915,510,364x = 316,037,096,866,669,683,277,824 - Step 5: Solve for x
x = 316,037,096,866,669,683,277,824/269,915,510,364 - Step 6: Final answer
x = 1,170,874,161,475.46
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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.