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Finding the Third Proportional to 64,023,915 and 140,491,584

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Solution

The third proportional to 64,023,915 and 140,491,584 is: 308,289,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,023,915 : 140,491,584 = 140,491,584 : x
  2. Step 2: Convert to fraction form
    64,023,915/140,491,584 = 140,491,584/x
  3. Step 3: Cross multiply
    64,023,915x = 140,491,584 × 140,491,584
  4. Step 4: Simplify right side
    64,023,915x = 19,737,885,174,829,056
  5. Step 5: Solve for x
    x = 19,737,885,174,829,056/64,023,915
  6. Step 6: Final answer
    x = 308,289,256.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.