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Finding the Third Proportional to 31,282,406 and 65,424,952

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Solution

The third proportional to 31,282,406 and 65,424,952 is: 136,831,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282,406 : 65,424,952 = 65,424,952 : x
  2. Step 2: Convert to fraction form
    31,282,406/65,424,952 = 65,424,952/x
  3. Step 3: Cross multiply
    31,282,406x = 65,424,952 × 65,424,952
  4. Step 4: Simplify right side
    31,282,406x = 4,280,424,344,202,304
  5. Step 5: Solve for x
    x = 4,280,424,344,202,304/31,282,406
  6. Step 6: Final answer
    x = 136,831,685.65

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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.