Finding the Third Proportional to 977,032,824 and 2,107,116,336
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Solution
The third proportional to 977,032,824 and 2,107,116,336 is: 4,544,309,202.69
Step by Step Solution
- Step 1: Write the proportion equation
977,032,824 : 2,107,116,336 = 2,107,116,336 : x - Step 2: Convert to fraction form
977,032,824/2,107,116,336 = 2,107,116,336/x - Step 3: Cross multiply
977,032,824x = 2,107,116,336 × 2,107,116,336 - Step 4: Simplify right side
977,032,824x = 4,439,939,253,438,064,640 - Step 5: Solve for x
x = 4,439,939,253,438,064,640/977,032,824 - Step 6: Final answer
x = 4,544,309,202.69
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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.