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Finding the Third Proportional to 65,751,649 and 104,716,082

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Solution

The third proportional to 65,751,649 and 104,716,082 is: 166,770,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751,649 : 104,716,082 = 104,716,082 : x
  2. Step 2: Convert to fraction form
    65,751,649/104,716,082 = 104,716,082/x
  3. Step 3: Cross multiply
    65,751,649x = 104,716,082 × 104,716,082
  4. Step 4: Simplify right side
    65,751,649x = 10,965,457,829,430,724
  5. Step 5: Solve for x
    x = 10,965,457,829,430,724/65,751,649
  6. Step 6: Final answer
    x = 166,770,841.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.