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Finding the Third Proportional to 24,276,394.83 and 52,006,882.78

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Solution

The third proportional to 24,276,394.83 and 52,006,882.78 is: 111,413,406.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276,394.83 : 52,006,882.78 = 52,006,882.78 : x
  2. Step 2: Convert to fraction form
    24,276,394.83/52,006,882.78 = 52,006,882.78/x
  3. Step 3: Cross multiply
    24,276,394.83x = 52,006,882.78 × 52,006,882.78
  4. Step 4: Simplify right side
    24,276,394.83x = 2,704,715,856,622,677.50
  5. Step 5: Solve for x
    x = 2,704,715,856,622,677.50/24,276,394.83
  6. Step 6: Final answer
    x = 111,413,406.96

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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.