Finding the Third Proportional to 302,375,642,292 and 647,881,040,682
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Solution
The third proportional to 302,375,642,292 and 647,881,040,682 is: 1,388,173,464,282.70
Step by Step Solution
- Step 1: Write the proportion equation
302,375,642,292 : 647,881,040,682 = 647,881,040,682 : x - Step 2: Convert to fraction form
302,375,642,292/647,881,040,682 = 647,881,040,682/x - Step 3: Cross multiply
302,375,642,292x = 647,881,040,682 × 647,881,040,682 - Step 4: Simplify right side
302,375,642,292x = 419,749,842,875,191,318,806,528 - Step 5: Solve for x
x = 419,749,842,875,191,318,806,528/302,375,642,292 - Step 6: Final answer
x = 1,388,173,464,282.70
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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.