Finding the Third Proportional to 27,422,701,968 and 38,617,207,152
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Solution
The third proportional to 27,422,701,968 and 38,617,207,152 is: 54,381,537,237.31
Step by Step Solution
- Step 1: Write the proportion equation
27,422,701,968 : 38,617,207,152 = 38,617,207,152 : x - Step 2: Convert to fraction form
27,422,701,968/38,617,207,152 = 38,617,207,152/x - Step 3: Cross multiply
27,422,701,968x = 38,617,207,152 × 38,617,207,152 - Step 4: Simplify right side
27,422,701,968x = 1,491,288,688,220,479,946,752 - Step 5: Solve for x
x = 1,491,288,688,220,479,946,752/27,422,701,968 - Step 6: Final answer
x = 54,381,537,237.31
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.