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Finding the Third Proportional to 11,429,997 and 24,453,223.50

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Solution

The third proportional to 11,429,997 and 24,453,223.50 is: 52,314,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429,997 : 24,453,223.50 = 24,453,223.50 : x
  2. Step 2: Convert to fraction form
    11,429,997/24,453,223.50 = 24,453,223.50/x
  3. Step 3: Cross multiply
    11,429,997x = 24,453,223.50 × 24,453,223.50
  4. Step 4: Simplify right side
    11,429,997x = 597,960,139,540,952.25
  5. Step 5: Solve for x
    x = 597,960,139,540,952.25/11,429,997
  6. Step 6: Final answer
    x = 52,314,986.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.