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Finding the Third Proportional to 471,172,462 and 1,035,812,110

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Solution

The third proportional to 471,172,462 and 1,035,812,110 is: 2,277,099,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,172,462 : 1,035,812,110 = 1,035,812,110 : x
  2. Step 2: Convert to fraction form
    471,172,462/1,035,812,110 = 1,035,812,110/x
  3. Step 3: Cross multiply
    471,172,462x = 1,035,812,110 × 1,035,812,110
  4. Step 4: Simplify right side
    471,172,462x = 1,072,906,727,222,652,160
  5. Step 5: Solve for x
    x = 1,072,906,727,222,652,160/471,172,462
  6. Step 6: Final answer
    x = 2,277,099,817.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.