Finding the Third Proportional to 649,573,126,704 and 1,352,603,374,020
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Solution
The third proportional to 649,573,126,704 and 1,352,603,374,020 is: 2,816,520,284,164.99
Step by Step Solution
- Step 1: Write the proportion equation
649,573,126,704 : 1,352,603,374,020 = 1,352,603,374,020 : x - Step 2: Convert to fraction form
649,573,126,704/1,352,603,374,020 = 1,352,603,374,020/x - Step 3: Cross multiply
649,573,126,704x = 1,352,603,374,020 × 1,352,603,374,020 - Step 4: Simplify right side
649,573,126,704x = 1,829,535,887,410,288,111,124,480 - Step 5: Solve for x
x = 1,829,535,887,410,288,111,124,480/649,573,126,704 - Step 6: Final answer
x = 2,816,520,284,164.99
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.