Finding the Third Proportional to 454,288,527,078 and 981,111,436,431
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Solution
The third proportional to 454,288,527,078 and 981,111,436,431 is: 2,118,872,904,158.61
Step by Step Solution
- Step 1: Write the proportion equation
454,288,527,078 : 981,111,436,431 = 981,111,436,431 : x - Step 2: Convert to fraction form
454,288,527,078/981,111,436,431 = 981,111,436,431/x - Step 3: Cross multiply
454,288,527,078x = 981,111,436,431 × 981,111,436,431 - Step 4: Simplify right side
454,288,527,078x = 962,579,650,695,700,204,748,800 - Step 5: Solve for x
x = 962,579,650,695,700,204,748,800/454,288,527,078 - Step 6: Final answer
x = 2,118,872,904,158.61
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.