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Finding the Third Proportional to 24,853,309.50 and 52,282,170

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Solution

The third proportional to 24,853,309.50 and 52,282,170 is: 109,982,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,853,309.50 : 52,282,170 = 52,282,170 : x
  2. Step 2: Convert to fraction form
    24,853,309.50/52,282,170 = 52,282,170/x
  3. Step 3: Cross multiply
    24,853,309.50x = 52,282,170 × 52,282,170
  4. Step 4: Simplify right side
    24,853,309.50x = 2,733,425,299,908,900
  5. Step 5: Solve for x
    x = 2,733,425,299,908,900/24,853,309.50
  6. Step 6: Final answer
    x = 109,982,346.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.