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Finding the Third Proportional to 22,787,411,470,868 and 30,745,568,433,990

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Solution

The third proportional to 22,787,411,470,868 and 30,745,568,433,990 is: 41,482,990,709,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787,411,470,868 : 30,745,568,433,990 = 30,745,568,433,990 : x
  2. Step 2: Convert to fraction form
    22,787,411,470,868/30,745,568,433,990 = 30,745,568,433,990/x
  3. Step 3: Cross multiply
    22,787,411,470,868x = 30,745,568,433,990 × 30,745,568,433,990
  4. Step 4: Simplify right side
    22,787,411,470,868x = 945,289,978,329,162,285,829,849,088
  5. Step 5: Solve for x
    x = 945,289,978,329,162,285,829,849,088/22,787,411,470,868
  6. Step 6: Final answer
    x = 41,482,990,709,043.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.