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Finding the Third Proportional to 24,753,004.50 and 53,765,770.50

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Solution

The third proportional to 24,753,004.50 and 53,765,770.50 is: 116,784,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,753,004.50 : 53,765,770.50 = 53,765,770.50 : x
  2. Step 2: Convert to fraction form
    24,753,004.50/53,765,770.50 = 53,765,770.50/x
  3. Step 3: Cross multiply
    24,753,004.50x = 53,765,770.50 × 53,765,770.50
  4. Step 4: Simplify right side
    24,753,004.50x = 2,890,758,077,458,670
  5. Step 5: Solve for x
    x = 2,890,758,077,458,670/24,753,004.50
  6. Step 6: Final answer
    x = 116,784,129.27

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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.