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Finding the Third Proportional to 27,411,312,182 and 36,984,296,325

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Solution

The third proportional to 27,411,312,182 and 36,984,296,325 is: 49,900,499,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411,312,182 : 36,984,296,325 = 36,984,296,325 : x
  2. Step 2: Convert to fraction form
    27,411,312,182/36,984,296,325 = 36,984,296,325/x
  3. Step 3: Cross multiply
    27,411,312,182x = 36,984,296,325 × 36,984,296,325
  4. Step 4: Simplify right side
    27,411,312,182x = 1,367,838,174,655,408,504,832
  5. Step 5: Solve for x
    x = 1,367,838,174,655,408,504,832/27,411,312,182
  6. Step 6: Final answer
    x = 49,900,499,675.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.