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Finding the Third Proportional to 34,783,074 and 75,559,626

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Solution

The third proportional to 34,783,074 and 75,559,626 is: 164,138,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,783,074 : 75,559,626 = 75,559,626 : x
  2. Step 2: Convert to fraction form
    34,783,074/75,559,626 = 75,559,626/x
  3. Step 3: Cross multiply
    34,783,074x = 75,559,626 × 75,559,626
  4. Step 4: Simplify right side
    34,783,074x = 5,709,257,081,259,876
  5. Step 5: Solve for x
    x = 5,709,257,081,259,876/34,783,074
  6. Step 6: Final answer
    x = 164,138,945.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.