Finding the Third Proportional to 8,416,022,670 and 18,296,941,680
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Solution
The third proportional to 8,416,022,670 and 18,296,941,680 is: 39,778,656,494.67
Step by Step Solution
- Step 1: Write the proportion equation
8,416,022,670 : 18,296,941,680 = 18,296,941,680 : x - Step 2: Convert to fraction form
8,416,022,670/18,296,941,680 = 18,296,941,680/x - Step 3: Cross multiply
8,416,022,670x = 18,296,941,680 × 18,296,941,680 - Step 4: Simplify right side
8,416,022,670x = 334,778,074,841,321,242,624 - Step 5: Solve for x
x = 334,778,074,841,321,242,624/8,416,022,670 - Step 6: Final answer
x = 39,778,656,494.67
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.