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Finding the Third Proportional to 551,640,568 and 1,186,974,008

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Solution

The third proportional to 551,640,568 and 1,186,974,008 is: 2,554,031,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,640,568 : 1,186,974,008 = 1,186,974,008 : x
  2. Step 2: Convert to fraction form
    551,640,568/1,186,974,008 = 1,186,974,008/x
  3. Step 3: Cross multiply
    551,640,568x = 1,186,974,008 × 1,186,974,008
  4. Step 4: Simplify right side
    551,640,568x = 1,408,907,295,667,584,000
  5. Step 5: Solve for x
    x = 1,408,907,295,667,584,000/551,640,568
  6. Step 6: Final answer
    x = 2,554,031,333.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.