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Finding the Third Proportional to 10,561,936 and 15,866,256

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Solution

The third proportional to 10,561,936 and 15,866,256 is: 23,834,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561,936 : 15,866,256 = 15,866,256 : x
  2. Step 2: Convert to fraction form
    10,561,936/15,866,256 = 15,866,256/x
  3. Step 3: Cross multiply
    10,561,936x = 15,866,256 × 15,866,256
  4. Step 4: Simplify right side
    10,561,936x = 251,738,079,457,536
  5. Step 5: Solve for x
    x = 251,738,079,457,536/10,561,936
  6. Step 6: Final answer
    x = 23,834,463.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.