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Finding the Third Proportional to 49,112,305 and 81,848,919

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Solution

The third proportional to 49,112,305 and 81,848,919 is: 136,406,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,112,305 : 81,848,919 = 81,848,919 : x
  2. Step 2: Convert to fraction form
    49,112,305/81,848,919 = 81,848,919/x
  3. Step 3: Cross multiply
    49,112,305x = 81,848,919 × 81,848,919
  4. Step 4: Simplify right side
    49,112,305x = 6,699,245,541,468,561
  5. Step 5: Solve for x
    x = 6,699,245,541,468,561/49,112,305
  6. Step 6: Final answer
    x = 136,406,661.05

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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.