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Finding the Third Proportional to 11,343,664 and 17,435,946

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Solution

The third proportional to 11,343,664 and 17,435,946 is: 26,800,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343,664 : 17,435,946 = 17,435,946 : x
  2. Step 2: Convert to fraction form
    11,343,664/17,435,946 = 17,435,946/x
  3. Step 3: Cross multiply
    11,343,664x = 17,435,946 × 17,435,946
  4. Step 4: Simplify right side
    11,343,664x = 304,012,212,914,916
  5. Step 5: Solve for x
    x = 304,012,212,914,916/11,343,664
  6. Step 6: Final answer
    x = 26,800,177.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.