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Finding the Third Proportional to 30,682,327,499,576 and 66,765,980,624,272

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Solution

The third proportional to 30,682,327,499,576 and 66,765,980,624,272 is: 145,285,463,391,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682,327,499,576 : 66,765,980,624,272 = 66,765,980,624,272 : x
  2. Step 2: Convert to fraction form
    30,682,327,499,576/66,765,980,624,272 = 66,765,980,624,272/x
  3. Step 3: Cross multiply
    30,682,327,499,576x = 66,765,980,624,272 × 66,765,980,624,272
  4. Step 4: Simplify right side
    30,682,327,499,576x = 4,457,696,168,720,663,887,793,356,800
  5. Step 5: Solve for x
    x = 4,457,696,168,720,663,887,793,356,800/30,682,327,499,576
  6. Step 6: Final answer
    x = 145,285,463,391,988.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.