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Finding the Third Proportional to 37,379,729 and 54,650,464

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Solution

The third proportional to 37,379,729 and 54,650,464 is: 79,900,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,379,729 : 54,650,464 = 54,650,464 : x
  2. Step 2: Convert to fraction form
    37,379,729/54,650,464 = 54,650,464/x
  3. Step 3: Cross multiply
    37,379,729x = 54,650,464 × 54,650,464
  4. Step 4: Simplify right side
    37,379,729x = 2,986,673,215,415,296
  5. Step 5: Solve for x
    x = 2,986,673,215,415,296/37,379,729
  6. Step 6: Final answer
    x = 79,900,879.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.