Finding the Third Proportional to 998,322,315.93 and 2,135,126,420.12
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Solution
The third proportional to 998,322,315.93 and 2,135,126,420.12 is: 4,566,425,849.82
Step by Step Solution
- Step 1: Write the proportion equation
998,322,315.93 : 2,135,126,420.12 = 2,135,126,420.12 : x - Step 2: Convert to fraction form
998,322,315.93/2,135,126,420.12 = 2,135,126,420.12/x - Step 3: Cross multiply
998,322,315.93x = 2,135,126,420.12 × 2,135,126,420.12 - Step 4: Simplify right side
998,322,315.93x = 4,558,764,829,898,717,184 - Step 5: Solve for x
x = 4,558,764,829,898,717,184/998,322,315.93 - Step 6: Final answer
x = 4,566,425,849.82
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.