Finding the Third Proportional to 270,107,772,016 and 575,149,877,216
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Solution
The third proportional to 270,107,772,016 and 575,149,877,216 is: 1,224,686,645,603.02
Step by Step Solution
- Step 1: Write the proportion equation
270,107,772,016 : 575,149,877,216 = 575,149,877,216 : x - Step 2: Convert to fraction form
270,107,772,016/575,149,877,216 = 575,149,877,216/x - Step 3: Cross multiply
270,107,772,016x = 575,149,877,216 × 575,149,877,216 - Step 4: Simplify right side
270,107,772,016x = 330,797,381,261,579,882,856,448 - Step 5: Solve for x
x = 330,797,381,261,579,882,856,448/270,107,772,016 - Step 6: Final answer
x = 1,224,686,645,603.02
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.