Finding the Third Proportional to 43,542,092,395,200 and 93,294,869,674,752
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Solution
The third proportional to 43,542,092,395,200 and 93,294,869,674,752 is: 199,896,978,505,986.22
Step by Step Solution
- Step 1: Write the proportion equation
43,542,092,395,200 : 93,294,869,674,752 = 93,294,869,674,752 : x - Step 2: Convert to fraction form
43,542,092,395,200/93,294,869,674,752 = 93,294,869,674,752/x - Step 3: Cross multiply
43,542,092,395,200x = 93,294,869,674,752 × 93,294,869,674,752 - Step 4: Simplify right side
43,542,092,395,200x = 8,703,932,707,628,960,258,627,469,312 - Step 5: Solve for x
x = 8,703,932,707,628,960,258,627,469,312/43,542,092,395,200 - Step 6: Final answer
x = 199,896,978,505,986.22
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.