Finding the Third Proportional to 542,429,751.75 and 1,177,330,206.75
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Solution
The third proportional to 542,429,751.75 and 1,177,330,206.75 is: 2,555,365,761.66
Step by Step Solution
- Step 1: Write the proportion equation
542,429,751.75 : 1,177,330,206.75 = 1,177,330,206.75 : x - Step 2: Convert to fraction form
542,429,751.75/1,177,330,206.75 = 1,177,330,206.75/x - Step 3: Cross multiply
542,429,751.75x = 1,177,330,206.75 × 1,177,330,206.75 - Step 4: Simplify right side
542,429,751.75x = 1,386,106,415,725,997,824 - Step 5: Solve for x
x = 1,386,106,415,725,997,824/542,429,751.75 - Step 6: Final answer
x = 2,555,365,761.66
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.