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Finding the Third Proportional to 24,140,251 and 51,732,141.50

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Solution

The third proportional to 24,140,251 and 51,732,141.50 is: 110,861,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140,251 : 51,732,141.50 = 51,732,141.50 : x
  2. Step 2: Convert to fraction form
    24,140,251/51,732,141.50 = 51,732,141.50/x
  3. Step 3: Cross multiply
    24,140,251x = 51,732,141.50 × 51,732,141.50
  4. Step 4: Simplify right side
    24,140,251x = 2,676,214,464,176,022
  5. Step 5: Solve for x
    x = 2,676,214,464,176,022/24,140,251
  6. Step 6: Final answer
    x = 110,861,086.91

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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.