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Finding the Third Proportional to 58,567,819,859 and 82,476,396,335

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Solution

The third proportional to 58,567,819,859 and 82,476,396,335 is: 116,144,940,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,567,819,859 : 82,476,396,335 = 82,476,396,335 : x
  2. Step 2: Convert to fraction form
    58,567,819,859/82,476,396,335 = 82,476,396,335/x
  3. Step 3: Cross multiply
    58,567,819,859x = 82,476,396,335 × 82,476,396,335
  4. Step 4: Simplify right side
    58,567,819,859x = 6,802,355,952,408,000,987,136
  5. Step 5: Solve for x
    x = 6,802,355,952,408,000,987,136/58,567,819,859
  6. Step 6: Final answer
    x = 116,144,940,494.36

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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.