Finding the Third Proportional to 434,428,082,829 and 935,250,300,090
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Solution
The third proportional to 434,428,082,829 and 935,250,300,090 is: 2,013,435,959,577.99
Step by Step Solution
- Step 1: Write the proportion equation
434,428,082,829 : 935,250,300,090 = 935,250,300,090 : x - Step 2: Convert to fraction form
434,428,082,829/935,250,300,090 = 935,250,300,090/x - Step 3: Cross multiply
434,428,082,829x = 935,250,300,090 × 935,250,300,090 - Step 4: Simplify right side
434,428,082,829x = 874,693,123,818,435,087,695,872 - Step 5: Solve for x
x = 874,693,123,818,435,087,695,872/434,428,082,829 - Step 6: Final answer
x = 2,013,435,959,577.99
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.