Finding the Third Proportional to 471,823,970,840 and 1,039,820,693,688
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Solution
The third proportional to 471,823,970,840 and 1,039,820,693,688 is: 2,291,589,961,181.62
Step by Step Solution
- Step 1: Write the proportion equation
471,823,970,840 : 1,039,820,693,688 = 1,039,820,693,688 : x - Step 2: Convert to fraction form
471,823,970,840/1,039,820,693,688 = 1,039,820,693,688/x - Step 3: Cross multiply
471,823,970,840x = 1,039,820,693,688 × 1,039,820,693,688 - Step 4: Simplify right side
471,823,970,840x = 1,081,227,075,021,793,512,128,512 - Step 5: Solve for x
x = 1,081,227,075,021,793,512,128,512/471,823,970,840 - Step 6: Final answer
x = 2,291,589,961,181.62
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.