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Finding the Third Proportional to 64,025,968 and 137,762,652

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Solution

The third proportional to 64,025,968 and 137,762,652 is: 296,419,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,025,968 : 137,762,652 = 137,762,652 : x
  2. Step 2: Convert to fraction form
    64,025,968/137,762,652 = 137,762,652/x
  3. Step 3: Cross multiply
    64,025,968x = 137,762,652 × 137,762,652
  4. Step 4: Simplify right side
    64,025,968x = 18,978,548,286,073,104
  5. Step 5: Solve for x
    x = 18,978,548,286,073,104/64,025,968
  6. Step 6: Final answer
    x = 296,419,544.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.