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Finding the Third Proportional to 10,965,431 and 23,761,381

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Solution

The third proportional to 10,965,431 and 23,761,381 is: 51,489,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965,431 : 23,761,381 = 23,761,381 : x
  2. Step 2: Convert to fraction form
    10,965,431/23,761,381 = 23,761,381/x
  3. Step 3: Cross multiply
    10,965,431x = 23,761,381 × 23,761,381
  4. Step 4: Simplify right side
    10,965,431x = 564,603,227,027,161
  5. Step 5: Solve for x
    x = 564,603,227,027,161/10,965,431
  6. Step 6: Final answer
    x = 51,489,378.49

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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.