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Finding the Third Proportional to 27,411,312,171 and 36,984,296,308.50

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Solution

The third proportional to 27,411,312,171 and 36,984,296,308.50 is: 49,900,499,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411,312,171 : 36,984,296,308.50 = 36,984,296,308.50 : x
  2. Step 2: Convert to fraction form
    27,411,312,171/36,984,296,308.50 = 36,984,296,308.50/x
  3. Step 3: Cross multiply
    27,411,312,171x = 36,984,296,308.50 × 36,984,296,308.50
  4. Step 4: Simplify right side
    27,411,312,171x = 1,367,838,173,434,926,858,240
  5. Step 5: Solve for x
    x = 1,367,838,173,434,926,858,240/27,411,312,171
  6. Step 6: Final answer
    x = 49,900,499,651.46

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