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Finding the Third Proportional to 1,135,874,968.50 and 1,697,552,019

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Solution

The third proportional to 1,135,874,968.50 and 1,697,552,019 is: 2,536,971,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,874,968.50 : 1,697,552,019 = 1,697,552,019 : x
  2. Step 2: Convert to fraction form
    1,135,874,968.50/1,697,552,019 = 1,697,552,019/x
  3. Step 3: Cross multiply
    1,135,874,968.50x = 1,697,552,019 × 1,697,552,019
  4. Step 4: Simplify right side
    1,135,874,968.50x = 2,881,682,857,210,976,256
  5. Step 5: Solve for x
    x = 2,881,682,857,210,976,256/1,135,874,968.50
  6. Step 6: Final answer
    x = 2,536,971,882.58

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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.