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Finding the Third Proportional to 24,783,829.50 and 53,685,051

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Solution

The third proportional to 24,783,829.50 and 53,685,051 is: 116,288,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783,829.50 : 53,685,051 = 53,685,051 : x
  2. Step 2: Convert to fraction form
    24,783,829.50/53,685,051 = 53,685,051/x
  3. Step 3: Cross multiply
    24,783,829.50x = 53,685,051 × 53,685,051
  4. Step 4: Simplify right side
    24,783,829.50x = 2,882,084,700,872,601
  5. Step 5: Solve for x
    x = 2,882,084,700,872,601/24,783,829.50
  6. Step 6: Final answer
    x = 116,288,917.37

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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.