Finding the Third Proportional to 410,417,202,515 and 882,600,782,734
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Solution
The third proportional to 410,417,202,515 and 882,600,782,734 is: 1,898,029,948,328.49
Step by Step Solution
- Step 1: Write the proportion equation
410,417,202,515 : 882,600,782,734 = 882,600,782,734 : x - Step 2: Convert to fraction form
410,417,202,515/882,600,782,734 = 882,600,782,734/x - Step 3: Cross multiply
410,417,202,515x = 882,600,782,734 × 882,600,782,734 - Step 4: Simplify right side
410,417,202,515x = 778,984,141,682,669,416,087,552 - Step 5: Solve for x
x = 778,984,141,682,669,416,087,552/410,417,202,515 - Step 6: Final answer
x = 1,898,029,948,328.49
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.