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Finding the Third Proportional to 64,636,704 and 138,230,064

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Solution

The third proportional to 64,636,704 and 138,230,064 is: 295,614,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,636,704 : 138,230,064 = 138,230,064 : x
  2. Step 2: Convert to fraction form
    64,636,704/138,230,064 = 138,230,064/x
  3. Step 3: Cross multiply
    64,636,704x = 138,230,064 × 138,230,064
  4. Step 4: Simplify right side
    64,636,704x = 19,107,550,593,444,096
  5. Step 5: Solve for x
    x = 19,107,550,593,444,096/64,636,704
  6. Step 6: Final answer
    x = 295,614,556.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.