Finding the Third Proportional to 512,333,560 and 1,102,477,664
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Solution
The third proportional to 512,333,560 and 1,102,477,664 is: 2,372,393,874.84
Step by Step Solution
- Step 1: Write the proportion equation
512,333,560 : 1,102,477,664 = 1,102,477,664 : x - Step 2: Convert to fraction form
512,333,560/1,102,477,664 = 1,102,477,664/x - Step 3: Cross multiply
512,333,560x = 1,102,477,664 × 1,102,477,664 - Step 4: Simplify right side
512,333,560x = 1,215,456,999,618,896,896 - Step 5: Solve for x
x = 1,215,456,999,618,896,896/512,333,560 - Step 6: Final answer
x = 2,372,393,874.84
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.