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Finding the Third Proportional to 24,270,814 and 52,143,525

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Solution

The third proportional to 24,270,814 and 52,143,525 is: 112,025,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270,814 : 52,143,525 = 52,143,525 : x
  2. Step 2: Convert to fraction form
    24,270,814/52,143,525 = 52,143,525/x
  3. Step 3: Cross multiply
    24,270,814x = 52,143,525 × 52,143,525
  4. Step 4: Simplify right side
    24,270,814x = 2,718,947,199,425,625
  5. Step 5: Solve for x
    x = 2,718,947,199,425,625/24,270,814
  6. Step 6: Final answer
    x = 112,025,381.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.