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Finding the Third Proportional to 39,883,408,812 and 86,385,265,740

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Solution

The third proportional to 39,883,408,812 and 86,385,265,740 is: 187,105,725,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,883,408,812 : 86,385,265,740 = 86,385,265,740 : x
  2. Step 2: Convert to fraction form
    39,883,408,812/86,385,265,740 = 86,385,265,740/x
  3. Step 3: Cross multiply
    39,883,408,812x = 86,385,265,740 × 86,385,265,740
  4. Step 4: Simplify right side
    39,883,408,812x = 7,462,414,136,970,417,537,024
  5. Step 5: Solve for x
    x = 7,462,414,136,970,417,537,024/39,883,408,812
  6. Step 6: Final answer
    x = 187,105,725,394.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.