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Finding the Third Proportional to 56,457,960 and 86,309,652

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Solution

The third proportional to 56,457,960 and 86,309,652 is: 131,945,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,457,960 : 86,309,652 = 86,309,652 : x
  2. Step 2: Convert to fraction form
    56,457,960/86,309,652 = 86,309,652/x
  3. Step 3: Cross multiply
    56,457,960x = 86,309,652 × 86,309,652
  4. Step 4: Simplify right side
    56,457,960x = 7,449,356,028,361,104
  5. Step 5: Solve for x
    x = 7,449,356,028,361,104/56,457,960
  6. Step 6: Final answer
    x = 131,945,185.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.