Finding the Third Proportional to 419,162,079,008 and 911,765,691,510
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Solution
The third proportional to 419,162,079,008 and 911,765,691,510 is: 1,983,282,166,607.54
Step by Step Solution
- Step 1: Write the proportion equation
419,162,079,008 : 911,765,691,510 = 911,765,691,510 : x - Step 2: Convert to fraction form
419,162,079,008/911,765,691,510 = 911,765,691,510/x - Step 3: Cross multiply
419,162,079,008x = 911,765,691,510 × 911,765,691,510 - Step 4: Simplify right side
419,162,079,008x = 831,316,676,214,708,552,859,648 - Step 5: Solve for x
x = 831,316,676,214,708,552,859,648/419,162,079,008 - Step 6: Final answer
x = 1,983,282,166,607.54
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.