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Finding the Third Proportional to 32,558,128 and 67,795,576

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Solution

The third proportional to 32,558,128 and 67,795,576 is: 141,170,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,558,128 : 67,795,576 = 67,795,576 : x
  2. Step 2: Convert to fraction form
    32,558,128/67,795,576 = 67,795,576/x
  3. Step 3: Cross multiply
    32,558,128x = 67,795,576 × 67,795,576
  4. Step 4: Simplify right side
    32,558,128x = 4,596,240,125,171,776
  5. Step 5: Solve for x
    x = 4,596,240,125,171,776/32,558,128
  6. Step 6: Final answer
    x = 141,170,282.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.