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Finding the Third Proportional to 82,784,660 and 174,150,008

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Solution

The third proportional to 82,784,660 and 174,150,008 is: 366,350,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,784,660 : 174,150,008 = 174,150,008 : x
  2. Step 2: Convert to fraction form
    82,784,660/174,150,008 = 174,150,008/x
  3. Step 3: Cross multiply
    82,784,660x = 174,150,008 × 174,150,008
  4. Step 4: Simplify right side
    82,784,660x = 30,328,225,286,400,064
  5. Step 5: Solve for x
    x = 30,328,225,286,400,064/82,784,660
  6. Step 6: Final answer
    x = 366,350,786.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.