Finding the Third Proportional to 947,087,857,264 and 2,209,948,037,236
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Solution
The third proportional to 947,087,857,264 and 2,209,948,037,236 is: 5,156,723,623,711.16
Step by Step Solution
- Step 1: Write the proportion equation
947,087,857,264 : 2,209,948,037,236 = 2,209,948,037,236 : x - Step 2: Convert to fraction form
947,087,857,264/2,209,948,037,236 = 2,209,948,037,236/x - Step 3: Cross multiply
947,087,857,264x = 2,209,948,037,236 × 2,209,948,037,236 - Step 4: Simplify right side
947,087,857,264x = 4,883,870,327,283,248,843,980,800 - Step 5: Solve for x
x = 4,883,870,327,283,248,843,980,800/947,087,857,264 - Step 6: Final answer
x = 5,156,723,623,711.16
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.