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Finding the Third Proportional to 34,127,223 and 48,288,975

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Solution

The third proportional to 34,127,223 and 48,288,975 is: 68,327,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127,223 : 48,288,975 = 48,288,975 : x
  2. Step 2: Convert to fraction form
    34,127,223/48,288,975 = 48,288,975/x
  3. Step 3: Cross multiply
    34,127,223x = 48,288,975 × 48,288,975
  4. Step 4: Simplify right side
    34,127,223x = 2,331,825,106,550,625
  5. Step 5: Solve for x
    x = 2,331,825,106,550,625/34,127,223
  6. Step 6: Final answer
    x = 68,327,420.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.