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Finding the Third Proportional to 678,231,468.75 and 1,469,164,015.50

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Solution

The third proportional to 678,231,468.75 and 1,469,164,015.50 is: 3,182,457,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,231,468.75 : 1,469,164,015.50 = 1,469,164,015.50 : x
  2. Step 2: Convert to fraction form
    678,231,468.75/1,469,164,015.50 = 1,469,164,015.50/x
  3. Step 3: Cross multiply
    678,231,468.75x = 1,469,164,015.50 × 1,469,164,015.50
  4. Step 4: Simplify right side
    678,231,468.75x = 2,158,442,904,440,084,224
  5. Step 5: Solve for x
    x = 2,158,442,904,440,084,224/678,231,468.75
  6. Step 6: Final answer
    x = 3,182,457,617.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.