Finding the Third Proportional to 66,785,117,784 and 145,570,246,896
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Solution
The third proportional to 66,785,117,784 and 145,570,246,896 is: 317,296,689,509.46
Step by Step Solution
- Step 1: Write the proportion equation
66,785,117,784 : 145,570,246,896 = 145,570,246,896 : x - Step 2: Convert to fraction form
66,785,117,784/145,570,246,896 = 145,570,246,896/x - Step 3: Cross multiply
66,785,117,784x = 145,570,246,896 × 145,570,246,896 - Step 4: Simplify right side
66,785,117,784x = 21,190,696,781,362,399,019,008 - Step 5: Solve for x
x = 21,190,696,781,362,399,019,008/66,785,117,784 - Step 6: Final answer
x = 317,296,689,509.46
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.