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Finding the Third Proportional to 447,942,138 and 931,641,717

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Solution

The third proportional to 447,942,138 and 931,641,717 is: 1,937,652,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,942,138 : 931,641,717 = 931,641,717 : x
  2. Step 2: Convert to fraction form
    447,942,138/931,641,717 = 931,641,717/x
  3. Step 3: Cross multiply
    447,942,138x = 931,641,717 × 931,641,717
  4. Step 4: Simplify right side
    447,942,138x = 867,956,288,854,708,096
  5. Step 5: Solve for x
    x = 867,956,288,854,708,096/447,942,138
  6. Step 6: Final answer
    x = 1,937,652,690.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.