Finding the Third Proportional to 569,114,116 and 1,269,086,010
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Solution
The third proportional to 569,114,116 and 1,269,086,010 is: 2,829,976,019.74
Step by Step Solution
- Step 1: Write the proportion equation
569,114,116 : 1,269,086,010 = 1,269,086,010 : x - Step 2: Convert to fraction form
569,114,116/1,269,086,010 = 1,269,086,010/x - Step 3: Cross multiply
569,114,116x = 1,269,086,010 × 1,269,086,010 - Step 4: Simplify right side
569,114,116x = 1,610,579,300,777,720,064 - Step 5: Solve for x
x = 1,610,579,300,777,720,064/569,114,116 - Step 6: Final answer
x = 2,829,976,019.74
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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.