Finding the Third Proportional to 37,282,915,827 and 81,783,996,156
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Solution
The third proportional to 37,282,915,827 and 81,783,996,156 is: 179,401,795,135.37
Step by Step Solution
- Step 1: Write the proportion equation
37,282,915,827 : 81,783,996,156 = 81,783,996,156 : x - Step 2: Convert to fraction form
37,282,915,827/81,783,996,156 = 81,783,996,156/x - Step 3: Cross multiply
37,282,915,827x = 81,783,996,156 × 81,783,996,156 - Step 4: Simplify right side
37,282,915,827x = 6,688,622,027,244,623,101,952 - Step 5: Solve for x
x = 6,688,622,027,244,623,101,952/37,282,915,827 - Step 6: Final answer
x = 179,401,795,135.37
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.