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Finding the Third Proportional to 251,825,013 and 541,913,780

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Solution

The third proportional to 251,825,013 and 541,913,780 is: 1,166,169,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,825,013 : 541,913,780 = 541,913,780 : x
  2. Step 2: Convert to fraction form
    251,825,013/541,913,780 = 541,913,780/x
  3. Step 3: Cross multiply
    251,825,013x = 541,913,780 × 541,913,780
  4. Step 4: Simplify right side
    251,825,013x = 293,670,544,953,888,384
  5. Step 5: Solve for x
    x = 293,670,544,953,888,384/251,825,013
  6. Step 6: Final answer
    x = 1,166,169,084.86

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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.