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Finding the Third Proportional to 5,074,812 and 10,941,834.38

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Solution

The third proportional to 5,074,812 and 10,941,834.38 is: 23,591,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074,812 : 10,941,834.38 = 10,941,834.38 : x
  2. Step 2: Convert to fraction form
    5,074,812/10,941,834.38 = 10,941,834.38/x
  3. Step 3: Cross multiply
    5,074,812x = 10,941,834.38 × 10,941,834.38
  4. Step 4: Simplify right side
    5,074,812x = 119,723,739,489,931.64
  5. Step 5: Solve for x
    x = 119,723,739,489,931.64/5,074,812
  6. Step 6: Final answer
    x = 23,591,758.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.