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Finding the Third Proportional to 37,919,971.50 and 57,278,469

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Solution

The third proportional to 37,919,971.50 and 57,278,469 is: 86,519,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,919,971.50 : 57,278,469 = 57,278,469 : x
  2. Step 2: Convert to fraction form
    37,919,971.50/57,278,469 = 57,278,469/x
  3. Step 3: Cross multiply
    37,919,971.50x = 57,278,469 × 57,278,469
  4. Step 4: Simplify right side
    37,919,971.50x = 3,280,823,010,983,961
  5. Step 5: Solve for x
    x = 3,280,823,010,983,961/37,919,971.50
  6. Step 6: Final answer
    x = 86,519,659.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.