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Finding the Third Proportional to 31,282,427 and 65,425,018

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Solution

The third proportional to 31,282,427 and 65,425,018 is: 136,831,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282,427 : 65,425,018 = 65,425,018 : x
  2. Step 2: Convert to fraction form
    31,282,427/65,425,018 = 65,425,018/x
  3. Step 3: Cross multiply
    31,282,427x = 65,425,018 × 65,425,018
  4. Step 4: Simplify right side
    31,282,427x = 4,280,432,980,300,324
  5. Step 5: Solve for x
    x = 4,280,432,980,300,324/31,282,427
  6. Step 6: Final answer
    x = 136,831,869.86

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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.