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Finding the Third Proportional to 1,700,682,665.25 and 2,640,564,563.25

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Solution

The third proportional to 1,700,682,665.25 and 2,640,564,563.25 is: 4,099,871,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,682,665.25 : 2,640,564,563.25 = 2,640,564,563.25 : x
  2. Step 2: Convert to fraction form
    1,700,682,665.25/2,640,564,563.25 = 2,640,564,563.25/x
  3. Step 3: Cross multiply
    1,700,682,665.25x = 2,640,564,563.25 × 2,640,564,563.25
  4. Step 4: Simplify right side
    1,700,682,665.25x = 6,972,581,212,691,662,848
  5. Step 5: Solve for x
    x = 6,972,581,212,691,662,848/1,700,682,665.25
  6. Step 6: Final answer
    x = 4,099,871,983.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.