Finding the Third Proportional to 196,260,616,356 and 426,908,123,580
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Solution
The third proportional to 196,260,616,356 and 426,908,123,580 is: 928,614,968,007.69
Step by Step Solution
- Step 1: Write the proportion equation
196,260,616,356 : 426,908,123,580 = 426,908,123,580 : x - Step 2: Convert to fraction form
196,260,616,356/426,908,123,580 = 426,908,123,580/x - Step 3: Cross multiply
196,260,616,356x = 426,908,123,580 × 426,908,123,580 - Step 4: Simplify right side
196,260,616,356x = 182,250,545,978,596,554,440,704 - Step 5: Solve for x
x = 182,250,545,978,596,554,440,704/196,260,616,356 - Step 6: Final answer
x = 928,614,968,007.69
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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.