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Finding the Third Proportional to 24,907,200.75 and 54,048,136.50

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Solution

The third proportional to 24,907,200.75 and 54,048,136.50 is: 117,283,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907,200.75 : 54,048,136.50 = 54,048,136.50 : x
  2. Step 2: Convert to fraction form
    24,907,200.75/54,048,136.50 = 54,048,136.50/x
  3. Step 3: Cross multiply
    24,907,200.75x = 54,048,136.50 × 54,048,136.50
  4. Step 4: Simplify right side
    24,907,200.75x = 2,921,201,059,122,632
  5. Step 5: Solve for x
    x = 2,921,201,059,122,632/24,907,200.75
  6. Step 6: Final answer
    x = 117,283,394.81

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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.