Finding the Third Proportional to 855,440,218,272 and 1,812,868,880,273.20
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Solution
The third proportional to 855,440,218,272 and 1,812,868,880,273.20 is: 3,841,874,051,353.07
Step by Step Solution
- Step 1: Write the proportion equation
855,440,218,272 : 1,812,868,880,273.20 = 1,812,868,880,273.20 : x - Step 2: Convert to fraction form
855,440,218,272/1,812,868,880,273.20 = 1,812,868,880,273.20/x - Step 3: Cross multiply
855,440,218,272x = 1,812,868,880,273.20 × 1,812,868,880,273.20 - Step 4: Simplify right side
855,440,218,272x = 3,286,493,577,063,005,681,614,848 - Step 5: Solve for x
x = 3,286,493,577,063,005,681,614,848/855,440,218,272 - Step 6: Final answer
x = 3,841,874,051,353.07
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.