Finding the Third Proportional to 358,695,912,522 and 790,505,477,550
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Solution
The third proportional to 358,695,912,522 and 790,505,477,550 is: 1,742,141,151,380.49
Step by Step Solution
- Step 1: Write the proportion equation
358,695,912,522 : 790,505,477,550 = 790,505,477,550 : x - Step 2: Convert to fraction form
358,695,912,522/790,505,477,550 = 790,505,477,550/x - Step 3: Cross multiply
358,695,912,522x = 790,505,477,550 × 790,505,477,550 - Step 4: Simplify right side
358,695,912,522x = 624,898,910,036,553,587,752,960 - Step 5: Solve for x
x = 624,898,910,036,553,587,752,960/358,695,912,522 - Step 6: Final answer
x = 1,742,141,151,380.49
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.