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Finding the Third Proportional to 6,785,244 and 14,749,200

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Solution

The third proportional to 6,785,244 and 14,749,200 is: 32,060,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785,244 : 14,749,200 = 14,749,200 : x
  2. Step 2: Convert to fraction form
    6,785,244/14,749,200 = 14,749,200/x
  3. Step 3: Cross multiply
    6,785,244x = 14,749,200 × 14,749,200
  4. Step 4: Simplify right side
    6,785,244x = 217,538,900,640,000
  5. Step 5: Solve for x
    x = 217,538,900,640,000/6,785,244
  6. Step 6: Final answer
    x = 32,060,586.27

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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.