Finding the Third Proportional to 50,476,503,010 and 109,012,381,827.50
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Solution
The third proportional to 50,476,503,010 and 109,012,381,827.50 is: 235,430,322,685.99
Step by Step Solution
- Step 1: Write the proportion equation
50,476,503,010 : 109,012,381,827.50 = 109,012,381,827.50 : x - Step 2: Convert to fraction form
50,476,503,010/109,012,381,827.50 = 109,012,381,827.50/x - Step 3: Cross multiply
50,476,503,010x = 109,012,381,827.50 × 109,012,381,827.50 - Step 4: Simplify right side
50,476,503,010x = 11,883,699,391,704,653,103,104 - Step 5: Solve for x
x = 11,883,699,391,704,653,103,104/50,476,503,010 - Step 6: Final answer
x = 235,430,322,685.99
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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.