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Finding the Third Proportional to 31,282,408 and 65,424,956

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Solution

The third proportional to 31,282,408 and 65,424,956 is: 136,831,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282,408 : 65,424,956 = 65,424,956 : x
  2. Step 2: Convert to fraction form
    31,282,408/65,424,956 = 65,424,956/x
  3. Step 3: Cross multiply
    31,282,408x = 65,424,956 × 65,424,956
  4. Step 4: Simplify right side
    31,282,408x = 4,280,424,867,601,936
  5. Step 5: Solve for x
    x = 4,280,424,867,601,936/31,282,408
  6. Step 6: Final answer
    x = 136,831,693.63

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.