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Finding the Third Proportional to 47,406,425,055 and 68,494,097,679

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Solution

The third proportional to 47,406,425,055 and 68,494,097,679 is: 98,962,143,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406,425,055 : 68,494,097,679 = 68,494,097,679 : x
  2. Step 2: Convert to fraction form
    47,406,425,055/68,494,097,679 = 68,494,097,679/x
  3. Step 3: Cross multiply
    47,406,425,055x = 68,494,097,679 × 68,494,097,679
  4. Step 4: Simplify right side
    47,406,425,055x = 4,691,441,416,860,393,275,392
  5. Step 5: Solve for x
    x = 4,691,441,416,860,393,275,392/47,406,425,055
  6. Step 6: Final answer
    x = 98,962,143,030.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.