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Finding the Third Proportional to 11,343,820 and 17,436,188

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Solution

The third proportional to 11,343,820 and 17,436,188 is: 26,800,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343,820 : 17,436,188 = 17,436,188 : x
  2. Step 2: Convert to fraction form
    11,343,820/17,436,188 = 17,436,188/x
  3. Step 3: Cross multiply
    11,343,820x = 17,436,188 × 17,436,188
  4. Step 4: Simplify right side
    11,343,820x = 304,020,651,971,344
  5. Step 5: Solve for x
    x = 304,020,651,971,344/11,343,820
  6. Step 6: Final answer
    x = 26,800,553.25

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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.