Finding the Third Proportional to 40,976,195,269.50 and 91,374,145,645.50
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Solution
The third proportional to 40,976,195,269.50 and 91,374,145,645.50 is: 203,758,168,310.46
Step by Step Solution
- Step 1: Write the proportion equation
40,976,195,269.50 : 91,374,145,645.50 = 91,374,145,645.50 : x - Step 2: Convert to fraction form
40,976,195,269.50/91,374,145,645.50 = 91,374,145,645.50/x - Step 3: Cross multiply
40,976,195,269.50x = 91,374,145,645.50 × 91,374,145,645.50 - Step 4: Simplify right side
40,976,195,269.50x = 8,349,234,492,445,047,128,064 - Step 5: Solve for x
x = 8,349,234,492,445,047,128,064/40,976,195,269.50 - Step 6: Final answer
x = 203,758,168,310.46
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.