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Finding the Third Proportional to 58,567,819,864 and 82,476,396,330

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Solution

The third proportional to 58,567,819,864 and 82,476,396,330 is: 116,144,940,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,567,819,864 : 82,476,396,330 = 82,476,396,330 : x
  2. Step 2: Convert to fraction form
    58,567,819,864/82,476,396,330 = 82,476,396,330/x
  3. Step 3: Cross multiply
    58,567,819,864x = 82,476,396,330 × 82,476,396,330
  4. Step 4: Simplify right side
    58,567,819,864x = 6,802,355,951,583,237,242,880
  5. Step 5: Solve for x
    x = 6,802,355,951,583,237,242,880/58,567,819,864
  6. Step 6: Final answer
    x = 116,144,940,470.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.