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Finding the Third Proportional to 1,135,874,971 and 1,697,552,022

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Solution

The third proportional to 1,135,874,971 and 1,697,552,022 is: 2,536,971,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,874,971 : 1,697,552,022 = 1,697,552,022 : x
  2. Step 2: Convert to fraction form
    1,135,874,971/1,697,552,022 = 1,697,552,022/x
  3. Step 3: Cross multiply
    1,135,874,971x = 1,697,552,022 × 1,697,552,022
  4. Step 4: Simplify right side
    1,135,874,971x = 2,881,682,867,396,288,512
  5. Step 5: Solve for x
    x = 2,881,682,867,396,288,512/1,135,874,971
  6. Step 6: Final answer
    x = 2,536,971,885.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.