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Finding the Third Proportional to 11,624,642 and 15,957,471

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Solution

The third proportional to 11,624,642 and 15,957,471 is: 21,905,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624,642 : 15,957,471 = 15,957,471 : x
  2. Step 2: Convert to fraction form
    11,624,642/15,957,471 = 15,957,471/x
  3. Step 3: Cross multiply
    11,624,642x = 15,957,471 × 15,957,471
  4. Step 4: Simplify right side
    11,624,642x = 254,640,880,715,841
  5. Step 5: Solve for x
    x = 254,640,880,715,841/11,624,642
  6. Step 6: Final answer
    x = 21,905,266.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.