Finding the Third Proportional to 410,417,202,514 and 882,600,782,732
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Solution
The third proportional to 410,417,202,514 and 882,600,782,732 is: 1,898,029,948,324.51
Step by Step Solution
- Step 1: Write the proportion equation
410,417,202,514 : 882,600,782,732 = 882,600,782,732 : x - Step 2: Convert to fraction form
410,417,202,514/882,600,782,732 = 882,600,782,732/x - Step 3: Cross multiply
410,417,202,514x = 882,600,782,732 × 882,600,782,732 - Step 4: Simplify right side
410,417,202,514x = 778,984,141,679,139,087,187,968 - Step 5: Solve for x
x = 778,984,141,679,139,087,187,968/410,417,202,514 - Step 6: Final answer
x = 1,898,029,948,324.51
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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.