Finding the Third Proportional to 227,903,432,571 and 485,282,708,766
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Solution
The third proportional to 227,903,432,571 and 485,282,708,766 is: 1,033,329,356,958.68
Step by Step Solution
- Step 1: Write the proportion equation
227,903,432,571 : 485,282,708,766 = 485,282,708,766 : x - Step 2: Convert to fraction form
227,903,432,571/485,282,708,766 = 485,282,708,766/x - Step 3: Cross multiply
227,903,432,571x = 485,282,708,766 × 485,282,708,766 - Step 4: Simplify right side
227,903,432,571x = 235,499,307,427,266,385,936,384 - Step 5: Solve for x
x = 235,499,307,427,266,385,936,384/227,903,432,571 - Step 6: Final answer
x = 1,033,329,356,958.68
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.