Finding the Third Proportional to 952,486,257,306 and 1,456,062,048,511
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Solution
The third proportional to 952,486,257,306 and 1,456,062,048,511 is: 2,225,876,408,034.02
Step by Step Solution
- Step 1: Write the proportion equation
952,486,257,306 : 1,456,062,048,511 = 1,456,062,048,511 : x - Step 2: Convert to fraction form
952,486,257,306/1,456,062,048,511 = 1,456,062,048,511/x - Step 3: Cross multiply
952,486,257,306x = 1,456,062,048,511 × 1,456,062,048,511 - Step 4: Simplify right side
952,486,257,306x = 2,120,116,689,114,049,625,980,928 - Step 5: Solve for x
x = 2,120,116,689,114,049,625,980,928/952,486,257,306 - Step 6: Final answer
x = 2,225,876,408,034.02
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.