Finding the Third Proportional to 48,507,065,116 and 105,555,623,476
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Solution
The third proportional to 48,507,065,116 and 105,555,623,476 is: 229,698,284,585.19
Step by Step Solution
- Step 1: Write the proportion equation
48,507,065,116 : 105,555,623,476 = 105,555,623,476 : x - Step 2: Convert to fraction form
48,507,065,116/105,555,623,476 = 105,555,623,476/x - Step 3: Cross multiply
48,507,065,116x = 105,555,623,476 × 105,555,623,476 - Step 4: Simplify right side
48,507,065,116x = 11,141,989,647,407,082,635,264 - Step 5: Solve for x
x = 11,141,989,647,407,082,635,264/48,507,065,116 - Step 6: Final answer
x = 229,698,284,585.19
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.