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Finding the Third Proportional to 22,787,411,470,827 and 30,745,568,433,933

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Solution

The third proportional to 22,787,411,470,827 and 30,745,568,433,933 is: 41,482,990,708,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787,411,470,827 : 30,745,568,433,933 = 30,745,568,433,933 : x
  2. Step 2: Convert to fraction form
    22,787,411,470,827/30,745,568,433,933 = 30,745,568,433,933/x
  3. Step 3: Cross multiply
    22,787,411,470,827x = 30,745,568,433,933 × 30,745,568,433,933
  4. Step 4: Simplify right side
    22,787,411,470,827x = 945,289,978,325,657,317,638,406,144
  5. Step 5: Solve for x
    x = 945,289,978,325,657,317,638,406,144/22,787,411,470,827
  6. Step 6: Final answer
    x = 41,482,990,708,964.05

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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.