Finding the Third Proportional to 355,156,566,016 and 838,105,932,492
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Solution
The third proportional to 355,156,566,016 and 838,105,932,492 is: 1,977,780,002,655.62
Step by Step Solution
- Step 1: Write the proportion equation
355,156,566,016 : 838,105,932,492 = 838,105,932,492 : x - Step 2: Convert to fraction form
355,156,566,016/838,105,932,492 = 838,105,932,492/x - Step 3: Cross multiply
355,156,566,016x = 838,105,932,492 × 838,105,932,492 - Step 4: Simplify right side
355,156,566,016x = 702,421,554,078,284,909,641,728 - Step 5: Solve for x
x = 702,421,554,078,284,909,641,728/355,156,566,016 - Step 6: Final answer
x = 1,977,780,002,655.62
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.