Finding the Third Proportional to 420,926,291,384 and 993,310,713,404
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Solution
The third proportional to 420,926,291,384 and 993,310,713,404 is: 2,344,035,508,257.32
Step by Step Solution
- Step 1: Write the proportion equation
420,926,291,384 : 993,310,713,404 = 993,310,713,404 : x - Step 2: Convert to fraction form
420,926,291,384/993,310,713,404 = 993,310,713,404/x - Step 3: Cross multiply
420,926,291,384x = 993,310,713,404 × 993,310,713,404 - Step 4: Simplify right side
420,926,291,384x = 986,666,173,363,163,366,424,576 - Step 5: Solve for x
x = 986,666,173,363,163,366,424,576/420,926,291,384 - Step 6: Final answer
x = 2,344,035,508,257.32
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.