Finding the Third Proportional to 459,465,504 and 983,516,016
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Solution
The third proportional to 459,465,504 and 983,516,016 is: 2,105,280,473.31
Step by Step Solution
- Step 1: Write the proportion equation
459,465,504 : 983,516,016 = 983,516,016 : x - Step 2: Convert to fraction form
459,465,504/983,516,016 = 983,516,016/x - Step 3: Cross multiply
459,465,504x = 983,516,016 × 983,516,016 - Step 4: Simplify right side
459,465,504x = 967,303,753,728,512,256 - Step 5: Solve for x
x = 967,303,753,728,512,256/459,465,504 - Step 6: Final answer
x = 2,105,280,473.31
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.