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Finding the Third Proportional to 251,785,073 and 541,833,907

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Solution

The third proportional to 251,785,073 and 541,833,907 is: 1,166,010,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,785,073 : 541,833,907 = 541,833,907 : x
  2. Step 2: Convert to fraction form
    251,785,073/541,833,907 = 541,833,907/x
  3. Step 3: Cross multiply
    251,785,073x = 541,833,907 × 541,833,907
  4. Step 4: Simplify right side
    251,785,073x = 293,583,982,774,884,672
  5. Step 5: Solve for x
    x = 293,583,982,774,884,672/251,785,073
  6. Step 6: Final answer
    x = 1,166,010,277.25

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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.