Finding the Third Proportional to 384,552,479,074 and 565,309,203,494
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Solution
The third proportional to 384,552,479,074 and 565,309,203,494 is: 831,029,606,998.13
Step by Step Solution
- Step 1: Write the proportion equation
384,552,479,074 : 565,309,203,494 = 565,309,203,494 : x - Step 2: Convert to fraction form
384,552,479,074/565,309,203,494 = 565,309,203,494/x - Step 3: Cross multiply
384,552,479,074x = 565,309,203,494 × 565,309,203,494 - Step 4: Simplify right side
384,552,479,074x = 319,574,495,555,020,715,458,560 - Step 5: Solve for x
x = 319,574,495,555,020,715,458,560/384,552,479,074 - Step 6: Final answer
x = 831,029,606,998.13
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.