Finding the Third Proportional to 75,674,138,195.63 and 106,430,612,170.88
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Solution
The third proportional to 75,674,138,195.63 and 106,430,612,170.88 is: 149,687,534,964.53
Step by Step Solution
- Step 1: Write the proportion equation
75,674,138,195.63 : 106,430,612,170.88 = 106,430,612,170.88 : x - Step 2: Convert to fraction form
75,674,138,195.63/106,430,612,170.88 = 106,430,612,170.88/x - Step 3: Cross multiply
75,674,138,195.63x = 106,430,612,170.88 × 106,430,612,170.88 - Step 4: Simplify right side
75,674,138,195.63x = 11,327,475,207,068,270,460,928 - Step 5: Solve for x
x = 11,327,475,207,068,270,460,928/75,674,138,195.63 - Step 6: Final answer
x = 149,687,534,964.53
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.