Finding the Third Proportional to 40,967,524,250,085 and 88,464,561,365,829
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Solution
The third proportional to 40,967,524,250,085 and 88,464,561,365,829 is: 191,028,839,572,415.38
Step by Step Solution
- Step 1: Write the proportion equation
40,967,524,250,085 : 88,464,561,365,829 = 88,464,561,365,829 : x - Step 2: Convert to fraction form
40,967,524,250,085/88,464,561,365,829 = 88,464,561,365,829/x - Step 3: Cross multiply
40,967,524,250,085x = 88,464,561,365,829 × 88,464,561,365,829 - Step 4: Simplify right side
40,967,524,250,085x = 7,825,978,617,648,524,526,257,963,008 - Step 5: Solve for x
x = 7,825,978,617,648,524,526,257,963,008/40,967,524,250,085 - Step 6: Final answer
x = 191,028,839,572,415.38
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.