Finding the Third Proportional to 5,275,839,609,660 and 11,427,738,582,648
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Solution
The third proportional to 5,275,839,609,660 and 11,427,738,582,648 is: 24,753,066,578,109.59
Step by Step Solution
- Step 1: Write the proportion equation
5,275,839,609,660 : 11,427,738,582,648 = 11,427,738,582,648 : x - Step 2: Convert to fraction form
5,275,839,609,660/11,427,738,582,648 = 11,427,738,582,648/x - Step 3: Cross multiply
5,275,839,609,660x = 11,427,738,582,648 × 11,427,738,582,648 - Step 4: Simplify right side
5,275,839,609,660x = 130,593,209,113,341,712,582,836,224 - Step 5: Solve for x
x = 130,593,209,113,341,712,582,836,224/5,275,839,609,660 - Step 6: Final answer
x = 24,753,066,578,109.59
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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.