Finding the Third Proportional to 543,725,023,272 and 852,944,107,288.50
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Solution
The third proportional to 543,725,023,272 and 852,944,107,288.50 is: 1,338,017,599,006.54
Step by Step Solution
- Step 1: Write the proportion equation
543,725,023,272 : 852,944,107,288.50 = 852,944,107,288.50 : x - Step 2: Convert to fraction form
543,725,023,272/852,944,107,288.50 = 852,944,107,288.50/x - Step 3: Cross multiply
543,725,023,272x = 852,944,107,288.50 × 852,944,107,288.50 - Step 4: Simplify right side
543,725,023,272x = 727,513,650,158,176,133,185,536 - Step 5: Solve for x
x = 727,513,650,158,176,133,185,536/543,725,023,272 - Step 6: Final answer
x = 1,338,017,599,006.54
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.