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Finding the Third Proportional to 3,865,070,126,858.50 and 8,408,731,203,015.50

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Solution

The third proportional to 3,865,070,126,858.50 and 8,408,731,203,015.50 is: 18,293,784,620,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865,070,126,858.50 : 8,408,731,203,015.50 = 8,408,731,203,015.50 : x
  2. Step 2: Convert to fraction form
    3,865,070,126,858.50/8,408,731,203,015.50 = 8,408,731,203,015.50/x
  3. Step 3: Cross multiply
    3,865,070,126,858.50x = 8,408,731,203,015.50 × 8,408,731,203,015.50
  4. Step 4: Simplify right side
    3,865,070,126,858.50x = 70,706,760,444,566,494,569,824,256
  5. Step 5: Solve for x
    x = 70,706,760,444,566,494,569,824,256/3,865,070,126,858.50
  6. Step 6: Final answer
    x = 18,293,784,620,678.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.