Finding the Third Proportional to 302,375,651,155 and 647,881,057,682
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Solution
The third proportional to 302,375,651,155 and 647,881,057,682 is: 1,388,173,496,443.27
Step by Step Solution
- Step 1: Write the proportion equation
302,375,651,155 : 647,881,057,682 = 647,881,057,682 : x - Step 2: Convert to fraction form
302,375,651,155/647,881,057,682 = 647,881,057,682/x - Step 3: Cross multiply
302,375,651,155x = 647,881,057,682 × 647,881,057,682 - Step 4: Simplify right side
302,375,651,155x = 419,749,864,903,147,041,849,344 - Step 5: Solve for x
x = 419,749,864,903,147,041,849,344/302,375,651,155 - Step 6: Final answer
x = 1,388,173,496,443.27
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.