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Finding the Third Proportional to 5,982,180,508 and 13,847,664,706

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Solution

The third proportional to 5,982,180,508 and 13,847,664,706 is: 32,054,836,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982,180,508 : 13,847,664,706 = 13,847,664,706 : x
  2. Step 2: Convert to fraction form
    5,982,180,508/13,847,664,706 = 13,847,664,706/x
  3. Step 3: Cross multiply
    5,982,180,508x = 13,847,664,706 × 13,847,664,706
  4. Step 4: Simplify right side
    5,982,180,508x = 191,757,817,809,798,070,272
  5. Step 5: Solve for x
    x = 191,757,817,809,798,070,272/5,982,180,508
  6. Step 6: Final answer
    x = 32,054,836,451.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.