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Finding the Third Proportional to 12,464,280 and 18,646,600

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Solution

The third proportional to 12,464,280 and 18,646,600 is: 27,895,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464,280 : 18,646,600 = 18,646,600 : x
  2. Step 2: Convert to fraction form
    12,464,280/18,646,600 = 18,646,600/x
  3. Step 3: Cross multiply
    12,464,280x = 18,646,600 × 18,646,600
  4. Step 4: Simplify right side
    12,464,280x = 347,695,691,560,000
  5. Step 5: Solve for x
    x = 347,695,691,560,000/12,464,280
  6. Step 6: Final answer
    x = 27,895,369.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.