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Finding the Third Proportional to 283,712,568 and 612,691,824

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Solution

The third proportional to 283,712,568 and 612,691,824 is: 1,323,139,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,712,568 : 612,691,824 = 612,691,824 : x
  2. Step 2: Convert to fraction form
    283,712,568/612,691,824 = 612,691,824/x
  3. Step 3: Cross multiply
    283,712,568x = 612,691,824 × 612,691,824
  4. Step 4: Simplify right side
    283,712,568x = 375,391,271,196,446,976
  5. Step 5: Solve for x
    x = 375,391,271,196,446,976/283,712,568
  6. Step 6: Final answer
    x = 1,323,139,379.56

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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.