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Finding the Third Proportional to 30,135,195 and 65,407,659.50

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Solution

The third proportional to 30,135,195 and 65,407,659.50 is: 141,965,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135,195 : 65,407,659.50 = 65,407,659.50 : x
  2. Step 2: Convert to fraction form
    30,135,195/65,407,659.50 = 65,407,659.50/x
  3. Step 3: Cross multiply
    30,135,195x = 65,407,659.50 × 65,407,659.50
  4. Step 4: Simplify right side
    30,135,195x = 4,278,161,921,267,940
  5. Step 5: Solve for x
    x = 4,278,161,921,267,940/30,135,195
  6. Step 6: Final answer
    x = 141,965,629.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.