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Finding the Third Proportional to 3,865,070,126,709.60 and 8,408,731,202,724.60

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Solution

The third proportional to 3,865,070,126,709.60 and 8,408,731,202,724.60 is: 18,293,784,620,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865,070,126,709.60 : 8,408,731,202,724.60 = 8,408,731,202,724.60 : x
  2. Step 2: Convert to fraction form
    3,865,070,126,709.60/8,408,731,202,724.60 = 8,408,731,202,724.60/x
  3. Step 3: Cross multiply
    3,865,070,126,709.60x = 8,408,731,202,724.60 × 8,408,731,202,724.60
  4. Step 4: Simplify right side
    3,865,070,126,709.60x = 70,706,760,439,674,294,891,446,272
  5. Step 5: Solve for x
    x = 70,706,760,439,674,294,891,446,272/3,865,070,126,709.60
  6. Step 6: Final answer
    x = 18,293,784,620,117.14

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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.