Finding the Third Proportional to 833,125,386,269 and 1,274,588,559,720
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Solution
The third proportional to 833,125,386,269 and 1,274,588,559,720 is: 1,949,977,786,470.38
Step by Step Solution
- Step 1: Write the proportion equation
833,125,386,269 : 1,274,588,559,720 = 1,274,588,559,720 : x - Step 2: Convert to fraction form
833,125,386,269/1,274,588,559,720 = 1,274,588,559,720/x - Step 3: Cross multiply
833,125,386,269x = 1,274,588,559,720 × 1,274,588,559,720 - Step 4: Simplify right side
833,125,386,269x = 1,624,575,996,569,104,022,503,424 - Step 5: Solve for x
x = 1,624,575,996,569,104,022,503,424/833,125,386,269 - Step 6: Final answer
x = 1,949,977,786,470.38
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.