Finding the Third Proportional to 967,046,705,192.24 and 2,069,940,491,664.80
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Solution
The third proportional to 967,046,705,192.24 and 2,069,940,491,664.80 is: 4,430,658,432,553.95
Step by Step Solution
- Step 1: Write the proportion equation
967,046,705,192.24 : 2,069,940,491,664.80 = 2,069,940,491,664.80 : x - Step 2: Convert to fraction form
967,046,705,192.24/2,069,940,491,664.80 = 2,069,940,491,664.80/x - Step 3: Cross multiply
967,046,705,192.24x = 2,069,940,491,664.80 × 2,069,940,491,664.80 - Step 4: Simplify right side
967,046,705,192.24x = 4,284,653,639,033,514,115,465,216 - Step 5: Solve for x
x = 4,284,653,639,033,514,115,465,216/967,046,705,192.24 - Step 6: Final answer
x = 4,430,658,432,553.95
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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.