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Finding the Third Proportional to 39,883,408,666 and 86,385,265,447

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Solution

The third proportional to 39,883,408,666 and 86,385,265,447 is: 187,105,724,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,883,408,666 : 86,385,265,447 = 86,385,265,447 : x
  2. Step 2: Convert to fraction form
    39,883,408,666/86,385,265,447 = 86,385,265,447/x
  3. Step 3: Cross multiply
    39,883,408,666x = 86,385,265,447 × 86,385,265,447
  4. Step 4: Simplify right side
    39,883,408,666x = 7,462,414,086,348,651,626,496
  5. Step 5: Solve for x
    x = 7,462,414,086,348,651,626,496/39,883,408,666
  6. Step 6: Final answer
    x = 187,105,724,810.08

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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.