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Finding the Third Proportional to 49,454,402 and 75,650,296

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Solution

The third proportional to 49,454,402 and 75,650,296 is: 115,722,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,454,402 : 75,650,296 = 75,650,296 : x
  2. Step 2: Convert to fraction form
    49,454,402/75,650,296 = 75,650,296/x
  3. Step 3: Cross multiply
    49,454,402x = 75,650,296 × 75,650,296
  4. Step 4: Simplify right side
    49,454,402x = 5,722,967,284,887,616
  5. Step 5: Solve for x
    x = 5,722,967,284,887,616/49,454,402
  6. Step 6: Final answer
    x = 115,722,100.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.