Finding the Third Proportional to 305,723,766,724 and 455,934,448,636
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Solution
The third proportional to 305,723,766,724 and 455,934,448,636 is: 679,947,861,693.98
Step by Step Solution
- Step 1: Write the proportion equation
305,723,766,724 : 455,934,448,636 = 455,934,448,636 : x - Step 2: Convert to fraction form
305,723,766,724/455,934,448,636 = 455,934,448,636/x - Step 3: Cross multiply
305,723,766,724x = 455,934,448,636 × 455,934,448,636 - Step 4: Simplify right side
305,723,766,724x = 207,876,221,453,013,337,767,936 - Step 5: Solve for x
x = 207,876,221,453,013,337,767,936/305,723,766,724 - Step 6: Final answer
x = 679,947,861,693.98
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.