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Finding the Third Proportional to 49,112,349 and 81,848,982

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Solution

The third proportional to 49,112,349 and 81,848,982 is: 136,406,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,112,349 : 81,848,982 = 81,848,982 : x
  2. Step 2: Convert to fraction form
    49,112,349/81,848,982 = 81,848,982/x
  3. Step 3: Cross multiply
    49,112,349x = 81,848,982 × 81,848,982
  4. Step 4: Simplify right side
    49,112,349x = 6,699,255,854,436,324
  5. Step 5: Solve for x
    x = 6,699,255,854,436,324/49,112,349
  6. Step 6: Final answer
    x = 136,406,748.83

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.