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Finding the Third Proportional to 6,237,024 and 13,436,544

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Solution

The third proportional to 6,237,024 and 13,436,544 is: 28,946,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237,024 : 13,436,544 = 13,436,544 : x
  2. Step 2: Convert to fraction form
    6,237,024/13,436,544 = 13,436,544/x
  3. Step 3: Cross multiply
    6,237,024x = 13,436,544 × 13,436,544
  4. Step 4: Simplify right side
    6,237,024x = 180,540,714,663,936
  5. Step 5: Solve for x
    x = 180,540,714,663,936/6,237,024
  6. Step 6: Final answer
    x = 28,946,612.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.