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Finding the Third Proportional to 233,265,310 and 501,147,859

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Solution

The third proportional to 233,265,310 and 501,147,859 is: 1,076,667,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,310 : 501,147,859 = 501,147,859 : x
  2. Step 2: Convert to fraction form
    233,265,310/501,147,859 = 501,147,859/x
  3. Step 3: Cross multiply
    233,265,310x = 501,147,859 × 501,147,859
  4. Step 4: Simplify right side
    233,265,310x = 251,149,176,580,283,872
  5. Step 5: Solve for x
    x = 251,149,176,580,283,872/233,265,310
  6. Step 6: Final answer
    x = 1,076,667,493.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.