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Finding the Third Proportional to 1,616,028,704 and 2,274,732,834

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Solution

The third proportional to 1,616,028,704 and 2,274,732,834 is: 3,201,929,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,028,704 : 2,274,732,834 = 2,274,732,834 : x
  2. Step 2: Convert to fraction form
    1,616,028,704/2,274,732,834 = 2,274,732,834/x
  3. Step 3: Cross multiply
    1,616,028,704x = 2,274,732,834 × 2,274,732,834
  4. Step 4: Simplify right side
    1,616,028,704x = 5,174,409,466,077,671,424
  5. Step 5: Solve for x
    x = 5,174,409,466,077,671,424/1,616,028,704
  6. Step 6: Final answer
    x = 3,201,929,181.87

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.