Finding the Third Proportional to 258,704,347,260 and 562,963,325,156
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Solution
The third proportional to 258,704,347,260 and 562,963,325,156 is: 1,225,057,517,692.91
Step by Step Solution
- Step 1: Write the proportion equation
258,704,347,260 : 562,963,325,156 = 562,963,325,156 : x - Step 2: Convert to fraction form
258,704,347,260/562,963,325,156 = 562,963,325,156/x - Step 3: Cross multiply
258,704,347,260x = 562,963,325,156 × 562,963,325,156 - Step 4: Simplify right side
258,704,347,260x = 316,927,705,470,700,175,228,928 - Step 5: Solve for x
x = 316,927,705,470,700,175,228,928/258,704,347,260 - Step 6: Final answer
x = 1,225,057,517,692.91
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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.