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Finding the Third Proportional to 31,584,018,436 and 49,062,821,238

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Solution

The third proportional to 31,584,018,436 and 49,062,821,238 is: 76,214,508,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584,018,436 : 49,062,821,238 = 49,062,821,238 : x
  2. Step 2: Convert to fraction form
    31,584,018,436/49,062,821,238 = 49,062,821,238/x
  3. Step 3: Cross multiply
    31,584,018,436x = 49,062,821,238 × 49,062,821,238
  4. Step 4: Simplify right side
    31,584,018,436x = 2,407,160,427,831,944,019,968
  5. Step 5: Solve for x
    x = 2,407,160,427,831,944,019,968/31,584,018,436
  6. Step 6: Final answer
    x = 76,214,508,065.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.