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Finding the Third Proportional to 10,633,916 and 15,946,974

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Solution

The third proportional to 10,633,916 and 15,946,974 is: 23,914,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633,916 : 15,946,974 = 15,946,974 : x
  2. Step 2: Convert to fraction form
    10,633,916/15,946,974 = 15,946,974/x
  3. Step 3: Cross multiply
    10,633,916x = 15,946,974 × 15,946,974
  4. Step 4: Simplify right side
    10,633,916x = 254,305,979,756,676
  5. Step 5: Solve for x
    x = 254,305,979,756,676/10,633,916
  6. Step 6: Final answer
    x = 23,914,612.43

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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.