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Finding the Third Proportional to 12,464,276 and 18,646,592

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Solution

The third proportional to 12,464,276 and 18,646,592 is: 27,895,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464,276 : 18,646,592 = 18,646,592 : x
  2. Step 2: Convert to fraction form
    12,464,276/18,646,592 = 18,646,592/x
  3. Step 3: Cross multiply
    12,464,276x = 18,646,592 × 18,646,592
  4. Step 4: Simplify right side
    12,464,276x = 347,695,393,214,464
  5. Step 5: Solve for x
    x = 347,695,393,214,464/12,464,276
  6. Step 6: Final answer
    x = 27,895,354.15

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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.