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Finding the Third Proportional to 12,552,310,013.25 and 27,311,004,926.25

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Solution

The third proportional to 12,552,310,013.25 and 27,311,004,926.25 is: 59,422,607,416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,552,310,013.25 : 27,311,004,926.25 = 27,311,004,926.25 : x
  2. Step 2: Convert to fraction form
    12,552,310,013.25/27,311,004,926.25 = 27,311,004,926.25/x
  3. Step 3: Cross multiply
    12,552,310,013.25x = 27,311,004,926.25 × 27,311,004,926.25
  4. Step 4: Simplify right side
    12,552,310,013.25x = 745,890,990,081,651,769,344
  5. Step 5: Solve for x
    x = 745,890,990,081,651,769,344/12,552,310,013.25
  6. Step 6: Final answer
    x = 59,422,607,416.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.