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Finding the Third Proportional to 24,414,169.50 and 34,134,642

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Solution

The third proportional to 24,414,169.50 and 34,134,642 is: 47,725,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414,169.50 : 34,134,642 = 34,134,642 : x
  2. Step 2: Convert to fraction form
    24,414,169.50/34,134,642 = 34,134,642/x
  3. Step 3: Cross multiply
    24,414,169.50x = 34,134,642 × 34,134,642
  4. Step 4: Simplify right side
    24,414,169.50x = 1,165,173,784,468,164
  5. Step 5: Solve for x
    x = 1,165,173,784,468,164/24,414,169.50
  6. Step 6: Final answer
    x = 47,725,309.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.