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Finding the Third Proportional to 11,966,912 and 26,099,840

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Solution

The third proportional to 11,966,912 and 26,099,840 is: 56,923,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966,912 : 26,099,840 = 26,099,840 : x
  2. Step 2: Convert to fraction form
    11,966,912/26,099,840 = 26,099,840/x
  3. Step 3: Cross multiply
    11,966,912x = 26,099,840 × 26,099,840
  4. Step 4: Simplify right side
    11,966,912x = 681,201,648,025,600
  5. Step 5: Solve for x
    x = 681,201,648,025,600/11,966,912
  6. Step 6: Final answer
    x = 56,923,761.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.