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Finding the Third Proportional to 11,006,256 and 14,946,216

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Solution

The third proportional to 11,006,256 and 14,946,216 is: 20,296,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006,256 : 14,946,216 = 14,946,216 : x
  2. Step 2: Convert to fraction form
    11,006,256/14,946,216 = 14,946,216/x
  3. Step 3: Cross multiply
    11,006,256x = 14,946,216 × 14,946,216
  4. Step 4: Simplify right side
    11,006,256x = 223,389,372,718,656
  5. Step 5: Solve for x
    x = 223,389,372,718,656/11,006,256
  6. Step 6: Final answer
    x = 20,296,581.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.