Finding the Third Proportional to 25,478,494,426,370 and 56,150,317,461,316
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Solution
The third proportional to 25,478,494,426,370 and 56,150,317,461,316 is: 123,745,857,908,440.23
Step by Step Solution
- Step 1: Write the proportion equation
25,478,494,426,370 : 56,150,317,461,316 = 56,150,317,461,316 : x - Step 2: Convert to fraction form
25,478,494,426,370/56,150,317,461,316 = 56,150,317,461,316/x - Step 3: Cross multiply
25,478,494,426,370x = 56,150,317,461,316 × 56,150,317,461,316 - Step 4: Simplify right side
25,478,494,426,370x = 3,152,858,151,006,568,541,784,637,440 - Step 5: Solve for x
x = 3,152,858,151,006,568,541,784,637,440/25,478,494,426,370 - Step 6: Final answer
x = 123,745,857,908,440.23
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.