Finding the Third Proportional to 4,099,341,457,939 and 8,537,982,917,102
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Solution
The third proportional to 4,099,341,457,939 and 8,537,982,917,102 is: 17,782,649,491,554.09
Step by Step Solution
- Step 1: Write the proportion equation
4,099,341,457,939 : 8,537,982,917,102 = 8,537,982,917,102 : x - Step 2: Convert to fraction form
4,099,341,457,939/8,537,982,917,102 = 8,537,982,917,102/x - Step 3: Cross multiply
4,099,341,457,939x = 8,537,982,917,102 × 8,537,982,917,102 - Step 4: Simplify right side
4,099,341,457,939x = 72,897,152,292,725,575,997,456,384 - Step 5: Solve for x
x = 72,897,152,292,725,575,997,456,384/4,099,341,457,939 - Step 6: Final answer
x = 17,782,649,491,554.09
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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.