Finding the Third Proportional to 329,072,413,941 and 463,406,473,116
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Solution
The third proportional to 329,072,413,941 and 463,406,473,116 is: 652,578,430,242.75
Step by Step Solution
- Step 1: Write the proportion equation
329,072,413,941 : 463,406,473,116 = 463,406,473,116 : x - Step 2: Convert to fraction form
329,072,413,941/463,406,473,116 = 463,406,473,116/x - Step 3: Cross multiply
329,072,413,941x = 463,406,473,116 × 463,406,473,116 - Step 4: Simplify right side
329,072,413,941x = 214,745,559,325,810,024,775,680 - Step 5: Solve for x
x = 214,745,559,325,810,024,775,680/329,072,413,941 - Step 6: Final answer
x = 652,578,430,242.75
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.