Finding the Third Proportional to 378,235,844 and 828,215,368
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Solution
The third proportional to 378,235,844 and 828,215,368 is: 1,813,526,419.22
Step by Step Solution
- Step 1: Write the proportion equation
378,235,844 : 828,215,368 = 828,215,368 : x - Step 2: Convert to fraction form
378,235,844/828,215,368 = 828,215,368/x - Step 3: Cross multiply
378,235,844x = 828,215,368 × 828,215,368 - Step 4: Simplify right side
378,235,844x = 685,940,695,791,375,360 - Step 5: Solve for x
x = 685,940,695,791,375,360/378,235,844 - Step 6: Final answer
x = 1,813,526,419.22
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.