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Finding the Third Proportional to 28,242,697,529 and 61,449,761,086

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Solution

The third proportional to 28,242,697,529 and 61,449,761,086 is: 133,700,866,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242,697,529 : 61,449,761,086 = 61,449,761,086 : x
  2. Step 2: Convert to fraction form
    28,242,697,529/61,449,761,086 = 61,449,761,086/x
  3. Step 3: Cross multiply
    28,242,697,529x = 61,449,761,086 × 61,449,761,086
  4. Step 4: Simplify right side
    28,242,697,529x = 3,776,073,137,526,480,044,032
  5. Step 5: Solve for x
    x = 3,776,073,137,526,480,044,032/28,242,697,529
  6. Step 6: Final answer
    x = 133,700,866,698.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.