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Finding the Third Proportional to 39,004,032 and 84,001,920

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Solution

The third proportional to 39,004,032 and 84,001,920 is: 180,912,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,004,032 : 84,001,920 = 84,001,920 : x
  2. Step 2: Convert to fraction form
    39,004,032/84,001,920 = 84,001,920/x
  3. Step 3: Cross multiply
    39,004,032x = 84,001,920 × 84,001,920
  4. Step 4: Simplify right side
    39,004,032x = 7,056,322,563,686,400
  5. Step 5: Solve for x
    x = 7,056,322,563,686,400/39,004,032
  6. Step 6: Final answer
    x = 180,912,644.20

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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.