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Finding the Third Proportional to 27,794,346 and 40,097,013

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Solution

The third proportional to 27,794,346 and 40,097,013 is: 57,845,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794,346 : 40,097,013 = 40,097,013 : x
  2. Step 2: Convert to fraction form
    27,794,346/40,097,013 = 40,097,013/x
  3. Step 3: Cross multiply
    27,794,346x = 40,097,013 × 40,097,013
  4. Step 4: Simplify right side
    27,794,346x = 1,607,770,451,522,169
  5. Step 5: Solve for x
    x = 1,607,770,451,522,169/27,794,346
  6. Step 6: Final answer
    x = 57,845,234.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.