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Finding the Third Proportional to 32,026,130 and 49,571,067

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Solution

The third proportional to 32,026,130 and 49,571,067 is: 76,727,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026,130 : 49,571,067 = 49,571,067 : x
  2. Step 2: Convert to fraction form
    32,026,130/49,571,067 = 49,571,067/x
  3. Step 3: Cross multiply
    32,026,130x = 49,571,067 × 49,571,067
  4. Step 4: Simplify right side
    32,026,130x = 2,457,290,683,518,489
  5. Step 5: Solve for x
    x = 2,457,290,683,518,489/32,026,130
  6. Step 6: Final answer
    x = 76,727,680.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.