Finding the Third Proportional to 305,723,766,730 and 455,934,448,644
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Solution
The third proportional to 305,723,766,730 and 455,934,448,644 is: 679,947,861,704.50
Step by Step Solution
- Step 1: Write the proportion equation
305,723,766,730 : 455,934,448,644 = 455,934,448,644 : x - Step 2: Convert to fraction form
305,723,766,730/455,934,448,644 = 455,934,448,644/x - Step 3: Cross multiply
305,723,766,730x = 455,934,448,644 × 455,934,448,644 - Step 4: Simplify right side
305,723,766,730x = 207,876,221,460,308,272,611,328 - Step 5: Solve for x
x = 207,876,221,460,308,272,611,328/305,723,766,730 - Step 6: Final answer
x = 679,947,861,704.50
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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.