Finding the Third Proportional to 1,031,849,165,933.40 and 2,244,860,246,678.10
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Solution
The third proportional to 1,031,849,165,933.40 and 2,244,860,246,678.10 is: 4,883,850,947,882.56
Step by Step Solution
- Step 1: Write the proportion equation
1,031,849,165,933.40 : 2,244,860,246,678.10 = 2,244,860,246,678.10 : x - Step 2: Convert to fraction form
1,031,849,165,933.40/2,244,860,246,678.10 = 2,244,860,246,678.10/x - Step 3: Cross multiply
1,031,849,165,933.40x = 2,244,860,246,678.10 × 2,244,860,246,678.10 - Step 4: Simplify right side
1,031,849,165,933.40x = 5,039,397,527,115,660,884,180,992 - Step 5: Solve for x
x = 5,039,397,527,115,660,884,180,992/1,031,849,165,933.40 - Step 6: Final answer
x = 4,883,850,947,882.56
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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.