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Finding the Third Proportional to 64,811,340 and 140,749,884

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Solution

The third proportional to 64,811,340 and 140,749,884 is: 305,664,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,811,340 : 140,749,884 = 140,749,884 : x
  2. Step 2: Convert to fraction form
    64,811,340/140,749,884 = 140,749,884/x
  3. Step 3: Cross multiply
    64,811,340x = 140,749,884 × 140,749,884
  4. Step 4: Simplify right side
    64,811,340x = 19,810,529,846,013,456
  5. Step 5: Solve for x
    x = 19,810,529,846,013,456/64,811,340
  6. Step 6: Final answer
    x = 305,664,561.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.