Finding the Third Proportional to 724,678,563,974 and 1,080,733,518,945
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Solution
The third proportional to 724,678,563,974 and 1,080,733,518,945 is: 1,611,728,284,836.02
Step by Step Solution
- Step 1: Write the proportion equation
724,678,563,974 : 1,080,733,518,945 = 1,080,733,518,945 : x - Step 2: Convert to fraction form
724,678,563,974/1,080,733,518,945 = 1,080,733,518,945/x - Step 3: Cross multiply
724,678,563,974x = 1,080,733,518,945 × 1,080,733,518,945 - Step 4: Simplify right side
724,678,563,974x = 1,167,984,938,971,242,646,470,656 - Step 5: Solve for x
x = 1,167,984,938,971,242,646,470,656/724,678,563,974 - Step 6: Final answer
x = 1,611,728,284,836.02
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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.