Finding the Third Proportional to 249,951,584,160 and 547,655,770,296
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Solution
The third proportional to 249,951,584,160 and 547,655,770,296 is: 1,199,939,755,318.83
Step by Step Solution
- Step 1: Write the proportion equation
249,951,584,160 : 547,655,770,296 = 547,655,770,296 : x - Step 2: Convert to fraction form
249,951,584,160/547,655,770,296 = 547,655,770,296/x - Step 3: Cross multiply
249,951,584,160x = 547,655,770,296 × 547,655,770,296 - Step 4: Simplify right side
249,951,584,160x = 299,926,842,738,505,106,325,504 - Step 5: Solve for x
x = 299,926,842,738,505,106,325,504/249,951,584,160 - Step 6: Final answer
x = 1,199,939,755,318.83
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.