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Finding the Third Proportional to 14,281,396 and 31,393,256

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Solution

The third proportional to 14,281,396 and 31,393,256 is: 69,008,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281,396 : 31,393,256 = 31,393,256 : x
  2. Step 2: Convert to fraction form
    14,281,396/31,393,256 = 31,393,256/x
  3. Step 3: Cross multiply
    14,281,396x = 31,393,256 × 31,393,256
  4. Step 4: Simplify right side
    14,281,396x = 985,536,522,281,536
  5. Step 5: Solve for x
    x = 985,536,522,281,536/14,281,396
  6. Step 6: Final answer
    x = 69,008,416.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.