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Finding the Third Proportional to 24,276,381.75 and 52,006,857.75

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Solution

The third proportional to 24,276,381.75 and 52,006,857.75 is: 111,413,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276,381.75 : 52,006,857.75 = 52,006,857.75 : x
  2. Step 2: Convert to fraction form
    24,276,381.75/52,006,857.75 = 52,006,857.75/x
  3. Step 3: Cross multiply
    24,276,381.75x = 52,006,857.75 × 52,006,857.75
  4. Step 4: Simplify right side
    24,276,381.75x = 2,704,713,253,028,735
  5. Step 5: Solve for x
    x = 2,704,713,253,028,735/24,276,381.75
  6. Step 6: Final answer
    x = 111,413,359.74

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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.