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Finding the Third Proportional to 259,996,122 and 529,072,392

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Solution

The third proportional to 259,996,122 and 529,072,392 is: 1,076,622,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,996,122 : 529,072,392 = 529,072,392 : x
  2. Step 2: Convert to fraction form
    259,996,122/529,072,392 = 529,072,392/x
  3. Step 3: Cross multiply
    259,996,122x = 529,072,392 × 529,072,392
  4. Step 4: Simplify right side
    259,996,122x = 279,917,595,976,601,664
  5. Step 5: Solve for x
    x = 279,917,595,976,601,664/259,996,122
  6. Step 6: Final answer
    x = 1,076,622,196.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.