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Finding the Third Proportional to 3,865,070,126,758.40 and 8,408,731,202,815.60

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Solution

The third proportional to 3,865,070,126,758.40 and 8,408,731,202,815.60 is: 18,293,784,620,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865,070,126,758.40 : 8,408,731,202,815.60 = 8,408,731,202,815.60 : x
  2. Step 2: Convert to fraction form
    3,865,070,126,758.40/8,408,731,202,815.60 = 8,408,731,202,815.60/x
  3. Step 3: Cross multiply
    3,865,070,126,758.40x = 8,408,731,202,815.60 × 8,408,731,202,815.60
  4. Step 4: Simplify right side
    3,865,070,126,758.40x = 70,706,760,441,204,677,638,356,992
  5. Step 5: Solve for x
    x = 70,706,760,441,204,677,638,356,992/3,865,070,126,758.40
  6. Step 6: Final answer
    x = 18,293,784,620,282.12

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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.