Finding the Third Proportional to 1,031,849,165,896.20 and 2,244,860,246,603.10
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Solution
The third proportional to 1,031,849,165,896.20 and 2,244,860,246,603.10 is: 4,883,850,947,732.29
Step by Step Solution
- Step 1: Write the proportion equation
1,031,849,165,896.20 : 2,244,860,246,603.10 = 2,244,860,246,603.10 : x - Step 2: Convert to fraction form
1,031,849,165,896.20/2,244,860,246,603.10 = 2,244,860,246,603.10/x - Step 3: Cross multiply
1,031,849,165,896.20x = 2,244,860,246,603.10 × 2,244,860,246,603.10 - Step 4: Simplify right side
1,031,849,165,896.20x = 5,039,397,526,778,931,153,207,296 - Step 5: Solve for x
x = 5,039,397,526,778,931,153,207,296/1,031,849,165,896.20 - Step 6: Final answer
x = 4,883,850,947,732.29
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.