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Finding the Third Proportional to 12,483,936 and 26,830,224

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Solution

The third proportional to 12,483,936 and 26,830,224 is: 57,662,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483,936 : 26,830,224 = 26,830,224 : x
  2. Step 2: Convert to fraction form
    12,483,936/26,830,224 = 26,830,224/x
  3. Step 3: Cross multiply
    12,483,936x = 26,830,224 × 26,830,224
  4. Step 4: Simplify right side
    12,483,936x = 719,860,919,890,176
  5. Step 5: Solve for x
    x = 719,860,919,890,176/12,483,936
  6. Step 6: Final answer
    x = 57,662,977.44

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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.