Finding the Third Proportional to 596,815,908,084 and 1,298,200,273,092
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Solution
The third proportional to 596,815,908,084 and 1,298,200,273,092 is: 2,823,858,959,233.61
Step by Step Solution
- Step 1: Write the proportion equation
596,815,908,084 : 1,298,200,273,092 = 1,298,200,273,092 : x - Step 2: Convert to fraction form
596,815,908,084/1,298,200,273,092 = 1,298,200,273,092/x - Step 3: Cross multiply
596,815,908,084x = 1,298,200,273,092 × 1,298,200,273,092 - Step 4: Simplify right side
596,815,908,084x = 1,685,323,949,056,143,373,893,632 - Step 5: Solve for x
x = 1,685,323,949,056,143,373,893,632/596,815,908,084 - Step 6: Final answer
x = 2,823,858,959,233.61
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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.