Finding the Third Proportional to 512,442,877,890 and 1,102,006,646,898
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Solution
The third proportional to 512,442,877,890 and 1,102,006,646,898 is: 2,369,861,504,969.65
Step by Step Solution
- Step 1: Write the proportion equation
512,442,877,890 : 1,102,006,646,898 = 1,102,006,646,898 : x - Step 2: Convert to fraction form
512,442,877,890/1,102,006,646,898 = 1,102,006,646,898/x - Step 3: Cross multiply
512,442,877,890x = 1,102,006,646,898 × 1,102,006,646,898 - Step 4: Simplify right side
512,442,877,890x = 1,214,418,649,807,373,199,212,544 - Step 5: Solve for x
x = 1,214,418,649,807,373,199,212,544/512,442,877,890 - Step 6: Final answer
x = 2,369,861,504,969.65
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.