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Finding the Third Proportional to 40,533,039,334 and 84,420,973,698

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Solution

The third proportional to 40,533,039,334 and 84,420,973,698 is: 175,829,420,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,533,039,334 : 84,420,973,698 = 84,420,973,698 : x
  2. Step 2: Convert to fraction form
    40,533,039,334/84,420,973,698 = 84,420,973,698/x
  3. Step 3: Cross multiply
    40,533,039,334x = 84,420,973,698 × 84,420,973,698
  4. Step 4: Simplify right side
    40,533,039,334x = 7,126,900,800,118,408,085,504
  5. Step 5: Solve for x
    x = 7,126,900,800,118,408,085,504/40,533,039,334
  6. Step 6: Final answer
    x = 175,829,420,078.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.