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Finding the Third Proportional to 6,481,784 and 14,159,500

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Solution

The third proportional to 6,481,784 and 14,159,500 is: 30,931,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,784 : 14,159,500 = 14,159,500 : x
  2. Step 2: Convert to fraction form
    6,481,784/14,159,500 = 14,159,500/x
  3. Step 3: Cross multiply
    6,481,784x = 14,159,500 × 14,159,500
  4. Step 4: Simplify right side
    6,481,784x = 200,491,440,250,000
  5. Step 5: Solve for x
    x = 200,491,440,250,000/6,481,784
  6. Step 6: Final answer
    x = 30,931,521.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.