Finding the Third Proportional to 133,207,415,296 and 287,645,782,384
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Solution
The third proportional to 133,207,415,296 and 287,645,782,384 is: 621,137,313,860.85
Step by Step Solution
- Step 1: Write the proportion equation
133,207,415,296 : 287,645,782,384 = 287,645,782,384 : x - Step 2: Convert to fraction form
133,207,415,296/287,645,782,384 = 287,645,782,384/x - Step 3: Cross multiply
133,207,415,296x = 287,645,782,384 × 287,645,782,384 - Step 4: Simplify right side
133,207,415,296x = 82,740,096,123,303,482,097,664 - Step 5: Solve for x
x = 82,740,096,123,303,482,097,664/133,207,415,296 - Step 6: Final answer
x = 621,137,313,860.85
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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.