Finding the Third Proportional to 632,983,651,992 and 854,043,567,644
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Solution
The third proportional to 632,983,651,992 and 854,043,567,644 is: 1,152,305,297,520.24
Step by Step Solution
- Step 1: Write the proportion equation
632,983,651,992 : 854,043,567,644 = 854,043,567,644 : x - Step 2: Convert to fraction form
632,983,651,992/854,043,567,644 = 854,043,567,644/x - Step 3: Cross multiply
632,983,651,992x = 854,043,567,644 × 854,043,567,644 - Step 4: Simplify right side
632,983,651,992x = 729,390,415,434,091,576,950,784 - Step 5: Solve for x
x = 729,390,415,434,091,576,950,784/632,983,651,992 - Step 6: Final answer
x = 1,152,305,297,520.24
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.