Finding the Third Proportional to 632,983,651,996 and 854,043,567,650
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Solution
The third proportional to 632,983,651,996 and 854,043,567,650 is: 1,152,305,297,529.15
Step by Step Solution
- Step 1: Write the proportion equation
632,983,651,996 : 854,043,567,650 = 854,043,567,650 : x - Step 2: Convert to fraction form
632,983,651,996/854,043,567,650 = 854,043,567,650/x - Step 3: Cross multiply
632,983,651,996x = 854,043,567,650 × 854,043,567,650 - Step 4: Simplify right side
632,983,651,996x = 729,390,415,444,340,174,225,408 - Step 5: Solve for x
x = 729,390,415,444,340,174,225,408/632,983,651,996 - Step 6: Final answer
x = 1,152,305,297,529.15
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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.