Finding the Third Proportional to 215,699,412,376 and 468,942,460,392
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Solution
The third proportional to 215,699,412,376 and 468,942,460,392 is: 1,019,506,862,518.33
Step by Step Solution
- Step 1: Write the proportion equation
215,699,412,376 : 468,942,460,392 = 468,942,460,392 : x - Step 2: Convert to fraction form
215,699,412,376/468,942,460,392 = 468,942,460,392/x - Step 3: Cross multiply
215,699,412,376x = 468,942,460,392 × 468,942,460,392 - Step 4: Simplify right side
215,699,412,376x = 219,907,031,158,502,476,218,368 - Step 5: Solve for x
x = 219,907,031,158,502,476,218,368/215,699,412,376 - Step 6: Final answer
x = 1,019,506,862,518.33
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.