Finding the Third Proportional to 474,715,678,800 and 1,018,344,095,017
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Solution
The third proportional to 474,715,678,800 and 1,018,344,095,017 is: 2,184,517,474,706.99
Step by Step Solution
- Step 1: Write the proportion equation
474,715,678,800 : 1,018,344,095,017 = 1,018,344,095,017 : x - Step 2: Convert to fraction form
474,715,678,800/1,018,344,095,017 = 1,018,344,095,017/x - Step 3: Cross multiply
474,715,678,800x = 1,018,344,095,017 × 1,018,344,095,017 - Step 4: Simplify right side
474,715,678,800x = 1,037,024,695,855,992,780,357,632 - Step 5: Solve for x
x = 1,037,024,695,855,992,780,357,632/474,715,678,800 - Step 6: Final answer
x = 2,184,517,474,706.99
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.