Finding the Third Proportional to 219,769,037,614 and 476,048,420,685
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Solution
The third proportional to 219,769,037,614 and 476,048,420,685 is: 1,031,183,015,119.35
Step by Step Solution
- Step 1: Write the proportion equation
219,769,037,614 : 476,048,420,685 = 476,048,420,685 : x - Step 2: Convert to fraction form
219,769,037,614/476,048,420,685 = 476,048,420,685/x - Step 3: Cross multiply
219,769,037,614x = 476,048,420,685 × 476,048,420,685 - Step 4: Simplify right side
219,769,037,614x = 226,622,098,836,682,744,791,040 - Step 5: Solve for x
x = 226,622,098,836,682,744,791,040/219,769,037,614 - Step 6: Final answer
x = 1,031,183,015,119.35
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.