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Finding the Third Proportional to 14,381,703 and 30,782,605

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Solution

The third proportional to 14,381,703 and 30,782,605 is: 65,887,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381,703 : 30,782,605 = 30,782,605 : x
  2. Step 2: Convert to fraction form
    14,381,703/30,782,605 = 30,782,605/x
  3. Step 3: Cross multiply
    14,381,703x = 30,782,605 × 30,782,605
  4. Step 4: Simplify right side
    14,381,703x = 947,568,770,586,025
  5. Step 5: Solve for x
    x = 947,568,770,586,025/14,381,703
  6. Step 6: Final answer
    x = 65,887,104.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.