Finding the Third Proportional to 284,355,382,586 and 592,246,692,964
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Solution
The third proportional to 284,355,382,586 and 592,246,692,964 is: 1,233,513,296,414.26
Step by Step Solution
- Step 1: Write the proportion equation
284,355,382,586 : 592,246,692,964 = 592,246,692,964 : x - Step 2: Convert to fraction form
284,355,382,586/592,246,692,964 = 592,246,692,964/x - Step 3: Cross multiply
284,355,382,586x = 592,246,692,964 × 592,246,692,964 - Step 4: Simplify right side
284,355,382,586x = 350,756,145,326,794,490,249,216 - Step 5: Solve for x
x = 350,756,145,326,794,490,249,216/284,355,382,586 - Step 6: Final answer
x = 1,233,513,296,414.26
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.