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Finding the Third Proportional to 569,114,118 and 1,269,086,014

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Solution

The third proportional to 569,114,118 and 1,269,086,014 is: 2,829,976,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,114,118 : 1,269,086,014 = 1,269,086,014 : x
  2. Step 2: Convert to fraction form
    569,114,118/1,269,086,014 = 1,269,086,014/x
  3. Step 3: Cross multiply
    569,114,118x = 1,269,086,014 × 1,269,086,014
  4. Step 4: Simplify right side
    569,114,118x = 1,610,579,310,930,408,192
  5. Step 5: Solve for x
    x = 1,610,579,310,930,408,192/569,114,118
  6. Step 6: Final answer
    x = 2,829,976,027.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.