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Finding the Third Proportional to 22,944,340,904 and 49,375,465,728

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Solution

The third proportional to 22,944,340,904 and 49,375,465,728 is: 106,254,375,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944,340,904 : 49,375,465,728 = 49,375,465,728 : x
  2. Step 2: Convert to fraction form
    22,944,340,904/49,375,465,728 = 49,375,465,728/x
  3. Step 3: Cross multiply
    22,944,340,904x = 49,375,465,728 × 49,375,465,728
  4. Step 4: Simplify right side
    22,944,340,904x = 2,437,936,615,856,902,504,448
  5. Step 5: Solve for x
    x = 2,437,936,615,856,902,504,448/22,944,340,904
  6. Step 6: Final answer
    x = 106,254,375,580.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.