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Finding the Third Proportional to 10,475,676 and 22,899,240

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Solution

The third proportional to 10,475,676 and 22,899,240 is: 50,056,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475,676 : 22,899,240 = 22,899,240 : x
  2. Step 2: Convert to fraction form
    10,475,676/22,899,240 = 22,899,240/x
  3. Step 3: Cross multiply
    10,475,676x = 22,899,240 × 22,899,240
  4. Step 4: Simplify right side
    10,475,676x = 524,375,192,577,600
  5. Step 5: Solve for x
    x = 524,375,192,577,600/10,475,676
  6. Step 6: Final answer
    x = 50,056,453.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.