Finding the Third Proportional to 407,631,688,949 and 607,912,598,163
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Solution
The third proportional to 407,631,688,949 and 607,912,598,163 is: 906,597,148,906.95
Step by Step Solution
- Step 1: Write the proportion equation
407,631,688,949 : 607,912,598,163 = 607,912,598,163 : x - Step 2: Convert to fraction form
407,631,688,949/607,912,598,163 = 607,912,598,163/x - Step 3: Cross multiply
407,631,688,949x = 607,912,598,163 × 607,912,598,163 - Step 4: Simplify right side
407,631,688,949x = 369,557,727,005,289,102,704,640 - Step 5: Solve for x
x = 369,557,727,005,289,102,704,640/407,631,688,949 - Step 6: Final answer
x = 906,597,148,906.95
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.