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Finding the Third Proportional to 39,052,746 and 83,982,629.25

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Solution

The third proportional to 39,052,746 and 83,982,629.25 is: 180,603,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,052,746 : 83,982,629.25 = 83,982,629.25 : x
  2. Step 2: Convert to fraction form
    39,052,746/83,982,629.25 = 83,982,629.25/x
  3. Step 3: Cross multiply
    39,052,746x = 83,982,629.25 × 83,982,629.25
  4. Step 4: Simplify right side
    39,052,746x = 7,053,082,015,742,956
  5. Step 5: Solve for x
    x = 7,053,082,015,742,956/39,052,746
  6. Step 6: Final answer
    x = 180,603,996.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.