Finding the Third Proportional to 38,920,064,142 and 84,974,191,782
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Solution
The third proportional to 38,920,064,142 and 84,974,191,782 is: 185,524,187,284.47
Step by Step Solution
- Step 1: Write the proportion equation
38,920,064,142 : 84,974,191,782 = 84,974,191,782 : x - Step 2: Convert to fraction form
38,920,064,142/84,974,191,782 = 84,974,191,782/x - Step 3: Cross multiply
38,920,064,142x = 84,974,191,782 × 84,974,191,782 - Step 4: Simplify right side
38,920,064,142x = 7,220,613,269,004,116,557,824 - Step 5: Solve for x
x = 7,220,613,269,004,116,557,824/38,920,064,142 - Step 6: Final answer
x = 185,524,187,284.47
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.