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Finding the Third Proportional to 27,411,312,173 and 36,984,296,311

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Solution

The third proportional to 27,411,312,173 and 36,984,296,311 is: 49,900,499,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411,312,173 : 36,984,296,311 = 36,984,296,311 : x
  2. Step 2: Convert to fraction form
    27,411,312,173/36,984,296,311 = 36,984,296,311/x
  3. Step 3: Cross multiply
    27,411,312,173x = 36,984,296,311 × 36,984,296,311
  4. Step 4: Simplify right side
    27,411,312,173x = 1,367,838,173,619,848,216,576
  5. Step 5: Solve for x
    x = 1,367,838,173,619,848,216,576/27,411,312,173
  6. Step 6: Final answer
    x = 49,900,499,654.56

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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.