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Finding the Third Proportional to 573,939,800,773 and 1,233,054,115,472

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Solution

The third proportional to 573,939,800,773 and 1,233,054,115,472 is: 2,649,097,430,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,939,800,773 : 1,233,054,115,472 = 1,233,054,115,472 : x
  2. Step 2: Convert to fraction form
    573,939,800,773/1,233,054,115,472 = 1,233,054,115,472/x
  3. Step 3: Cross multiply
    573,939,800,773x = 1,233,054,115,472 × 1,233,054,115,472
  4. Step 4: Simplify right side
    573,939,800,773x = 1,520,422,451,682,436,236,443,648
  5. Step 5: Solve for x
    x = 1,520,422,451,682,436,236,443,648/573,939,800,773
  6. Step 6: Final answer
    x = 2,649,097,430,836.27

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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.