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Finding the Third Proportional to 39,716,512 and 85,706,096

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Solution

The third proportional to 39,716,512 and 85,706,096 is: 184,949,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,716,512 : 85,706,096 = 85,706,096 : x
  2. Step 2: Convert to fraction form
    39,716,512/85,706,096 = 85,706,096/x
  3. Step 3: Cross multiply
    39,716,512x = 85,706,096 × 85,706,096
  4. Step 4: Simplify right side
    39,716,512x = 7,345,534,891,561,216
  5. Step 5: Solve for x
    x = 7,345,534,891,561,216/39,716,512
  6. Step 6: Final answer
    x = 184,949,143.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.