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Finding the Third Proportional to 13,940,856 and 30,197,742

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Solution

The third proportional to 13,940,856 and 30,197,742 is: 65,412,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940,856 : 30,197,742 = 30,197,742 : x
  2. Step 2: Convert to fraction form
    13,940,856/30,197,742 = 30,197,742/x
  3. Step 3: Cross multiply
    13,940,856x = 30,197,742 × 30,197,742
  4. Step 4: Simplify right side
    13,940,856x = 911,903,621,898,564
  5. Step 5: Solve for x
    x = 911,903,621,898,564/13,940,856
  6. Step 6: Final answer
    x = 65,412,311.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.