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Finding the Third Proportional to 31,282,410 and 65,424,960

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Solution

The third proportional to 31,282,410 and 65,424,960 is: 136,831,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282,410 : 65,424,960 = 65,424,960 : x
  2. Step 2: Convert to fraction form
    31,282,410/65,424,960 = 65,424,960/x
  3. Step 3: Cross multiply
    31,282,410x = 65,424,960 × 65,424,960
  4. Step 4: Simplify right side
    31,282,410x = 4,280,425,391,001,600
  5. Step 5: Solve for x
    x = 4,280,425,391,001,600/31,282,410
  6. Step 6: Final answer
    x = 136,831,701.62

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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.