Finding the Third Proportional to 212,368,077,753 and 455,027,561,706
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Solution
The third proportional to 212,368,077,753 and 455,027,561,706 is: 974,958,591,247.99
Step by Step Solution
- Step 1: Write the proportion equation
212,368,077,753 : 455,027,561,706 = 455,027,561,706 : x - Step 2: Convert to fraction form
212,368,077,753/455,027,561,706 = 455,027,561,706/x - Step 3: Cross multiply
212,368,077,753x = 455,027,561,706 × 455,027,561,706 - Step 4: Simplify right side
212,368,077,753x = 207,050,081,912,107,646,844,928 - Step 5: Solve for x
x = 207,050,081,912,107,646,844,928/212,368,077,753 - Step 6: Final answer
x = 974,958,591,247.99
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.