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Finding the Third Proportional to 23,689,700,992,704 and 51,585,022,882,732

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Solution

The third proportional to 23,689,700,992,704 and 51,585,022,882,732 is: 112,327,909,357,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689,700,992,704 : 51,585,022,882,732 = 51,585,022,882,732 : x
  2. Step 2: Convert to fraction form
    23,689,700,992,704/51,585,022,882,732 = 51,585,022,882,732/x
  3. Step 3: Cross multiply
    23,689,700,992,704x = 51,585,022,882,732 × 51,585,022,882,732
  4. Step 4: Simplify right side
    23,689,700,992,704x = 2,661,014,585,811,983,950,329,937,920
  5. Step 5: Solve for x
    x = 2,661,014,585,811,983,950,329,937,920/23,689,700,992,704
  6. Step 6: Final answer
    x = 112,327,909,357,383.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.