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Finding the Third Proportional to 410,955,920,133 and 628,716,543,135

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Solution

The third proportional to 410,955,920,133 and 628,716,543,135 is: 961,865,913,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,955,920,133 : 628,716,543,135 = 628,716,543,135 : x
  2. Step 2: Convert to fraction form
    410,955,920,133/628,716,543,135 = 628,716,543,135/x
  3. Step 3: Cross multiply
    410,955,920,133x = 628,716,543,135 × 628,716,543,135
  4. Step 4: Simplify right side
    410,955,920,133x = 395,284,491,611,624,339,144,704
  5. Step 5: Solve for x
    x = 395,284,491,611,624,339,144,704/410,955,920,133
  6. Step 6: Final answer
    x = 961,865,913,706.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.