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Finding the Third Proportional to 7,538,759,847 and 16,572,994,425

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Solution

The third proportional to 7,538,759,847 and 16,572,994,425 is: 36,433,597,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538,759,847 : 16,572,994,425 = 16,572,994,425 : x
  2. Step 2: Convert to fraction form
    7,538,759,847/16,572,994,425 = 16,572,994,425/x
  3. Step 3: Cross multiply
    7,538,759,847x = 16,572,994,425 × 16,572,994,425
  4. Step 4: Simplify right side
    7,538,759,847x = 274,664,144,211,081,068,544
  5. Step 5: Solve for x
    x = 274,664,144,211,081,068,544/7,538,759,847
  6. Step 6: Final answer
    x = 36,433,597,804.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.