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Finding the Third Proportional to 12,183,624 and 18,277,758

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Solution

The third proportional to 12,183,624 and 18,277,758 is: 27,420,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183,624 : 18,277,758 = 18,277,758 : x
  2. Step 2: Convert to fraction form
    12,183,624/18,277,758 = 18,277,758/x
  3. Step 3: Cross multiply
    12,183,624x = 18,277,758 × 18,277,758
  4. Step 4: Simplify right side
    12,183,624x = 334,076,437,506,564
  5. Step 5: Solve for x
    x = 334,076,437,506,564/12,183,624
  6. Step 6: Final answer
    x = 27,420,120.44

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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.