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Finding the Third Proportional to 41,180,024 and 87,831,832

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Solution

The third proportional to 41,180,024 and 87,831,832 is: 187,334,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180,024 : 87,831,832 = 87,831,832 : x
  2. Step 2: Convert to fraction form
    41,180,024/87,831,832 = 87,831,832/x
  3. Step 3: Cross multiply
    41,180,024x = 87,831,832 × 87,831,832
  4. Step 4: Simplify right side
    41,180,024x = 7,714,430,712,476,224
  5. Step 5: Solve for x
    x = 7,714,430,712,476,224/41,180,024
  6. Step 6: Final answer
    x = 187,334,293.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.