Finding the Third Proportional to 1,291,364,551,226.10 and 2,774,371,758,826.70
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Solution
The third proportional to 1,291,364,551,226.10 and 2,774,371,758,826.70 is: 5,960,469,217,516.49
Step by Step Solution
- Step 1: Write the proportion equation
1,291,364,551,226.10 : 2,774,371,758,826.70 = 2,774,371,758,826.70 : x - Step 2: Convert to fraction form
1,291,364,551,226.10/2,774,371,758,826.70 = 2,774,371,758,826.70/x - Step 3: Cross multiply
1,291,364,551,226.10x = 2,774,371,758,826.70 × 2,774,371,758,826.70 - Step 4: Simplify right side
1,291,364,551,226.10x = 7,697,138,656,175,158,410,084,352 - Step 5: Solve for x
x = 7,697,138,656,175,158,410,084,352/1,291,364,551,226.10 - Step 6: Final answer
x = 5,960,469,217,516.49
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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.