Finding the Third Proportional to 38,357,275,482,068 and 78,747,981,878,280
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Solution
The third proportional to 38,357,275,482,068 and 78,747,981,878,280 is: 161,670,623,681,314.19
Step by Step Solution
- Step 1: Write the proportion equation
38,357,275,482,068 : 78,747,981,878,280 = 78,747,981,878,280 : x - Step 2: Convert to fraction form
38,357,275,482,068/78,747,981,878,280 = 78,747,981,878,280/x - Step 3: Cross multiply
38,357,275,482,068x = 78,747,981,878,280 × 78,747,981,878,280 - Step 4: Simplify right side
38,357,275,482,068x = 6,201,244,649,901,915,041,362,345,984 - Step 5: Solve for x
x = 6,201,244,649,901,915,041,362,345,984/38,357,275,482,068 - Step 6: Final answer
x = 161,670,623,681,314.19
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.