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Finding the Third Proportional to 226,627,661 and 500,893,096

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Solution

The third proportional to 226,627,661 and 500,893,096 is: 1,107,075,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,627,661 : 500,893,096 = 500,893,096 : x
  2. Step 2: Convert to fraction form
    226,627,661/500,893,096 = 500,893,096/x
  3. Step 3: Cross multiply
    226,627,661x = 500,893,096 × 500,893,096
  4. Step 4: Simplify right side
    226,627,661x = 250,893,893,620,465,216
  5. Step 5: Solve for x
    x = 250,893,893,620,465,216/226,627,661
  6. Step 6: Final answer
    x = 1,107,075,334.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.