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Finding the Third Proportional to 43,512,714 and 65,269,071

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Solution

The third proportional to 43,512,714 and 65,269,071 is: 97,903,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,512,714 : 65,269,071 = 65,269,071 : x
  2. Step 2: Convert to fraction form
    43,512,714/65,269,071 = 65,269,071/x
  3. Step 3: Cross multiply
    43,512,714x = 65,269,071 × 65,269,071
  4. Step 4: Simplify right side
    43,512,714x = 4,260,051,629,203,041
  5. Step 5: Solve for x
    x = 4,260,051,629,203,041/43,512,714
  6. Step 6: Final answer
    x = 97,903,606.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.