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Finding the Third Proportional to 58,567,819,840.50 and 82,476,396,333

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Solution

The third proportional to 58,567,819,840.50 and 82,476,396,333 is: 116,144,940,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,567,819,840.50 : 82,476,396,333 = 82,476,396,333 : x
  2. Step 2: Convert to fraction form
    58,567,819,840.50/82,476,396,333 = 82,476,396,333/x
  3. Step 3: Cross multiply
    58,567,819,840.50x = 82,476,396,333 × 82,476,396,333
  4. Step 4: Simplify right side
    58,567,819,840.50x = 6,802,355,952,078,095,908,864
  5. Step 5: Solve for x
    x = 6,802,355,952,078,095,908,864/58,567,819,840.50
  6. Step 6: Final answer
    x = 116,144,940,525.42

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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.