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Finding the Third Proportional to 23,960,823 and 51,690,941

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Solution

The third proportional to 23,960,823 and 51,690,941 is: 111,513,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,960,823 : 51,690,941 = 51,690,941 : x
  2. Step 2: Convert to fraction form
    23,960,823/51,690,941 = 51,690,941/x
  3. Step 3: Cross multiply
    23,960,823x = 51,690,941 × 51,690,941
  4. Step 4: Simplify right side
    23,960,823x = 2,671,953,381,465,481
  5. Step 5: Solve for x
    x = 2,671,953,381,465,481/23,960,823
  6. Step 6: Final answer
    x = 111,513,422.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.