Finding the Third Proportional to 543,725,023,274 and 852,944,107,292
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Solution
The third proportional to 543,725,023,274 and 852,944,107,292 is: 1,338,017,599,012.60
Step by Step Solution
- Step 1: Write the proportion equation
543,725,023,274 : 852,944,107,292 = 852,944,107,292 : x - Step 2: Convert to fraction form
543,725,023,274/852,944,107,292 = 852,944,107,292/x - Step 3: Cross multiply
543,725,023,274x = 852,944,107,292 × 852,944,107,292 - Step 4: Simplify right side
543,725,023,274x = 727,513,650,164,146,808,815,616 - Step 5: Solve for x
x = 727,513,650,164,146,808,815,616/543,725,023,274 - Step 6: Final answer
x = 1,338,017,599,012.60
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.