Finding the Third Proportional to 6,803,365,744 and 10,649,125,542
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Solution
The third proportional to 6,803,365,744 and 10,649,125,542 is: 16,668,789,989.62
Step by Step Solution
- Step 1: Write the proportion equation
6,803,365,744 : 10,649,125,542 = 10,649,125,542 : x - Step 2: Convert to fraction form
6,803,365,744/10,649,125,542 = 10,649,125,542/x - Step 3: Cross multiply
6,803,365,744x = 10,649,125,542 × 10,649,125,542 - Step 4: Simplify right side
6,803,365,744x = 113,403,874,809,276,792,832 - Step 5: Solve for x
x = 113,403,874,809,276,792,832/6,803,365,744 - Step 6: Final answer
x = 16,668,789,989.62
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.