Finding the Third Proportional to 530,245,911,922.86 and 1,163,150,163,717.80
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Solution
The third proportional to 530,245,911,922.86 and 1,163,150,163,717.80 is: 2,551,492,190,577.35
Step by Step Solution
- Step 1: Write the proportion equation
530,245,911,922.86 : 1,163,150,163,717.80 = 1,163,150,163,717.80 : x - Step 2: Convert to fraction form
530,245,911,922.86/1,163,150,163,717.80 = 1,163,150,163,717.80/x - Step 3: Cross multiply
530,245,911,922.86x = 1,163,150,163,717.80 × 1,163,150,163,717.80 - Step 4: Simplify right side
530,245,911,922.86x = 1,352,918,303,356,745,007,759,360 - Step 5: Solve for x
x = 1,352,918,303,356,745,007,759,360/530,245,911,922.86 - Step 6: Final answer
x = 2,551,492,190,577.35
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.