Finding the Third Proportional to 6,472,536,014 and 14,204,919,100
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Solution
The third proportional to 6,472,536,014 and 14,204,919,100 is: 31,174,755,335.64
Step by Step Solution
- Step 1: Write the proportion equation
6,472,536,014 : 14,204,919,100 = 14,204,919,100 : x - Step 2: Convert to fraction form
6,472,536,014/14,204,919,100 = 14,204,919,100/x - Step 3: Cross multiply
6,472,536,014x = 14,204,919,100 × 14,204,919,100 - Step 4: Simplify right side
6,472,536,014x = 201,779,726,637,544,800,256 - Step 5: Solve for x
x = 201,779,726,637,544,800,256/6,472,536,014 - Step 6: Final answer
x = 31,174,755,335.64
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.