Finding the Third Proportional to 870,860,301,116 and 1,210,861,639,156
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Solution
The third proportional to 870,860,301,116 and 1,210,861,639,156 is: 1,683,606,322,737.01
Step by Step Solution
- Step 1: Write the proportion equation
870,860,301,116 : 1,210,861,639,156 = 1,210,861,639,156 : x - Step 2: Convert to fraction form
870,860,301,116/1,210,861,639,156 = 1,210,861,639,156/x - Step 3: Cross multiply
870,860,301,116x = 1,210,861,639,156 × 1,210,861,639,156 - Step 4: Simplify right side
870,860,301,116x = 1,466,185,909,179,555,195,650,048 - Step 5: Solve for x
x = 1,466,185,909,179,555,195,650,048/870,860,301,116 - Step 6: Final answer
x = 1,683,606,322,737.01
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.