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Finding the Third Proportional to 31,493,615 and 45,035,923

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Solution

The third proportional to 31,493,615 and 45,035,923 is: 64,401,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493,615 : 45,035,923 = 45,035,923 : x
  2. Step 2: Convert to fraction form
    31,493,615/45,035,923 = 45,035,923/x
  3. Step 3: Cross multiply
    31,493,615x = 45,035,923 × 45,035,923
  4. Step 4: Simplify right side
    31,493,615x = 2,028,234,360,461,929
  5. Step 5: Solve for x
    x = 2,028,234,360,461,929/31,493,615
  6. Step 6: Final answer
    x = 64,401,446.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.