Finding the Third Proportional to 449,575,026,106 and 970,804,514,390
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Solution
The third proportional to 449,575,026,106 and 970,804,514,390 is: 2,096,338,431,703.26
Step by Step Solution
- Step 1: Write the proportion equation
449,575,026,106 : 970,804,514,390 = 970,804,514,390 : x - Step 2: Convert to fraction form
449,575,026,106/970,804,514,390 = 970,804,514,390/x - Step 3: Cross multiply
449,575,026,106x = 970,804,514,390 × 970,804,514,390 - Step 4: Simplify right side
449,575,026,106x = 942,461,405,160,003,673,784,320 - Step 5: Solve for x
x = 942,461,405,160,003,673,784,320/449,575,026,106 - Step 6: Final answer
x = 2,096,338,431,703.26
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.