Finding the Third Proportional to 641,580,163,712 and 1,359,651,660,222
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Solution
The third proportional to 641,580,163,712 and 1,359,651,660,222 is: 2,881,405,538,551.35
Step by Step Solution
- Step 1: Write the proportion equation
641,580,163,712 : 1,359,651,660,222 = 1,359,651,660,222 : x - Step 2: Convert to fraction form
641,580,163,712/1,359,651,660,222 = 1,359,651,660,222/x - Step 3: Cross multiply
641,580,163,712x = 1,359,651,660,222 × 1,359,651,660,222 - Step 4: Simplify right side
641,580,163,712x = 1,848,652,637,144,440,964,644,864 - Step 5: Solve for x
x = 1,848,652,637,144,440,964,644,864/641,580,163,712 - Step 6: Final answer
x = 2,881,405,538,551.35
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.