Finding the Third Proportional to 38,566,008,646,942 and 83,267,031,188,565
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Solution
The third proportional to 38,566,008,646,942 and 83,267,031,188,565 is: 179,780,037,556,653.50
Step by Step Solution
- Step 1: Write the proportion equation
38,566,008,646,942 : 83,267,031,188,565 = 83,267,031,188,565 : x - Step 2: Convert to fraction form
38,566,008,646,942/83,267,031,188,565 = 83,267,031,188,565/x - Step 3: Cross multiply
38,566,008,646,942x = 83,267,031,188,565 × 83,267,031,188,565 - Step 4: Simplify right side
38,566,008,646,942x = 6,933,398,482,957,456,535,862,640,640 - Step 5: Solve for x
x = 6,933,398,482,957,456,535,862,640,640/38,566,008,646,942 - Step 6: Final answer
x = 179,780,037,556,653.50
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.