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Finding the Third Proportional to 31,254,286 and 64,903,964

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Solution

The third proportional to 31,254,286 and 64,903,964 is: 134,782,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,254,286 : 64,903,964 = 64,903,964 : x
  2. Step 2: Convert to fraction form
    31,254,286/64,903,964 = 64,903,964/x
  3. Step 3: Cross multiply
    31,254,286x = 64,903,964 × 64,903,964
  4. Step 4: Simplify right side
    31,254,286x = 4,212,524,542,913,296
  5. Step 5: Solve for x
    x = 4,212,524,542,913,296/31,254,286
  6. Step 6: Final answer
    x = 134,782,299.71

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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.