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Finding the Third Proportional to 572,393,678 and 1,235,434,130

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Solution

The third proportional to 572,393,678 and 1,235,434,130 is: 2,666,517,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,393,678 : 1,235,434,130 = 1,235,434,130 : x
  2. Step 2: Convert to fraction form
    572,393,678/1,235,434,130 = 1,235,434,130/x
  3. Step 3: Cross multiply
    572,393,678x = 1,235,434,130 × 1,235,434,130
  4. Step 4: Simplify right side
    572,393,678x = 1,526,297,489,568,856,832
  5. Step 5: Solve for x
    x = 1,526,297,489,568,856,832/572,393,678
  6. Step 6: Final answer
    x = 2,666,517,028.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.