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Finding the Third Proportional to 253,467,575,571.45 and 543,730,111,282.30

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Solution

The third proportional to 253,467,575,571.45 and 543,730,111,282.30 is: 1,166,391,532,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,467,575,571.45 : 543,730,111,282.30 = 543,730,111,282.30 : x
  2. Step 2: Convert to fraction form
    253,467,575,571.45/543,730,111,282.30 = 543,730,111,282.30/x
  3. Step 3: Cross multiply
    253,467,575,571.45x = 543,730,111,282.30 × 543,730,111,282.30
  4. Step 4: Simplify right side
    253,467,575,571.45x = 295,642,433,915,062,329,540,608
  5. Step 5: Solve for x
    x = 295,642,433,915,062,329,540,608/253,467,575,571.45
  6. Step 6: Final answer
    x = 1,166,391,532,520.59

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