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Finding the Third Proportional to 253,815,619,230 and 383,987,845,485

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Solution

The third proportional to 253,815,619,230 and 383,987,845,485 is: 580,920,378,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,815,619,230 : 383,987,845,485 = 383,987,845,485 : x
  2. Step 2: Convert to fraction form
    253,815,619,230/383,987,845,485 = 383,987,845,485/x
  3. Step 3: Cross multiply
    253,815,619,230x = 383,987,845,485 × 383,987,845,485
  4. Step 4: Simplify right side
    253,815,619,230x = 147,446,665,480,212,228,079,616
  5. Step 5: Solve for x
    x = 147,446,665,480,212,228,079,616/253,815,619,230
  6. Step 6: Final answer
    x = 580,920,378,058.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.