Finding the Third Proportional to 174,362,822,977.50 and 272,925,440,435.25
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Solution
The third proportional to 174,362,822,977.50 and 272,925,440,435.25 is: 427,202,856,462.05
Step by Step Solution
- Step 1: Write the proportion equation
174,362,822,977.50 : 272,925,440,435.25 = 272,925,440,435.25 : x - Step 2: Convert to fraction form
174,362,822,977.50/272,925,440,435.25 = 272,925,440,435.25/x - Step 3: Cross multiply
174,362,822,977.50x = 272,925,440,435.25 × 272,925,440,435.25 - Step 4: Simplify right side
174,362,822,977.50x = 74,488,296,036,775,197,933,568 - Step 5: Solve for x
x = 74,488,296,036,775,197,933,568/174,362,822,977.50 - Step 6: Final answer
x = 427,202,856,462.05
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.